case study class 10 maths polynomials

• Bihar Board

SRM University

Ap inter results.

• AP Board Results 2024
• UP Board Result 2024
• CBSE Board Result 2024
• MP Board Result 2024
• Rajasthan Board Result 2024
• Karnataka Board Result
• Shiv Khera Special
• Education News
• Web Stories
• Current Affairs
• नए भारत का नया उत्तर प्रदेश
• School & Boards
• College Admission
• Govt Jobs Alert & Prep
• GK & Aptitude
• CBSE Class 10 Study Material

CBSE Class 10 Maths Case Study Questions for Chapter 2 - Polynomials (Published by CBSE)

Check the case study questions published by cbse for class 10 maths chapter 2 - polynomials. these questions are important for the preparation of cbse class 10 maths exam 2021-22..

CBSE Class 10 Maths paper in Board Exam 2022 will have some questions based on the case study. These questions are entirely new for the class 10 students. Therefore, the board has released a question bank to help the students get familiarised with the case study questions. We have provided here the case study questions for CBSE Class 10 Maths Chapter 2 - Polynomials. All the questions have sub-questions of MCQ type. You can find the answer (correct option) written against each question. Practice all the case study based questions right after you finish with the chapter - Polynomials. This will help you prepare for your Maths exam easily and effectively.

Case Study Questions for Class 10 Maths Chapter 2 - Polynomials

CASE STUDY 1:

The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

1. In the standard form of quadratic polynomial, ax 2 + bx + c, a, b and c are

a) All are Polynomials.

b) All are rational numbers.

c) ‘a’ is a non zero real number and b and c are any Polynomials.

d) All are integers.

Answers: c) ‘a’ is a non zero real number and b and c are any Polynomials.

2. If the roots of the quadratic polynomial are equal, where the discriminant D = b 2 – 4ac, then

a) D > 0

b) D < 0

c) D ≥ 0

Answers: d) D = 0

3. If α and 1/α are the zeroes of the quadratic polynomial 2x2 – x + 8k, then k is

c) –1/4

Answers: b) 1/4

4. The graph of x 2 +1 = 0

a) Intersects x‐axis at two distinct points.

b)Touches x‐axis at a point.

c) Neither touches nor intersects x‐axis.

d)Either touches or intersects x‐ axis.

Answers: c) Neither touches nor intersects x‐axis.

5. If the sum of the roots is –p and product of the roots is –1/p, then the quadratic polynomial is

a) k(–px 2 + x/p + 1)

b) k(px 2 – x/p – 1)

c) k(x 2 + px – 1/p)

d) k(x 2 – px + 1/p)

Answers: c) k(x 2 + px – 1/p)

CASE STUDY 2:

An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.

1. The shape of the poses shown is

d) Parabola

Answer: d) Parabola

2. The graph of parabola opens downwards, if _______

a) a ≥ 0

c) a < 0

d) a > 0

Answer: c) a < 0

3. In the graph, how many zeroes are there for the polynomial?

Answer: c) 2

4. The two zeroes in the above shown graph are

Answer: b) -2, 4

CASE STUDY 3:

Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.

1. The shape of the path traced shown is

2. The graph of parabola opens upwards, if _______

b) a < 0

c) a > 0

d) a ≥ 0

Answer: c) a > 0

3. Observe the following graph and answer

In the above graph, how many zeroes are there for the polynomial?

Answer: d) 3

4. The three zeroes in the above shown graph are

b) -2, 3, 1

c) -3, -1, 2

d) -2, -3, -1

Answer: c) -3, -1, 2

5. What will be the expression of the polynomial?

a) x 3 + 2x 2 – 5x – 6

b) x 3 + 2x 2 – 5x + 6

c) x 3 + 2x 2 + 5x – 6

d) x 3 + 2x 2 + 5x + 6

Answer: a) x 3 + 2x 2 – 5x – 6

Also Check:

CBSE Case Study Questions for Class 10 Maths - All Chapters

Tips to Solve Case Study Based Questions Accurately

Get here latest School , CBSE and Govt Jobs notification in English and Hindi for Sarkari Naukari and Sarkari Result . Download the Jagran Josh Sarkari Naukri App . Check  Board Result 2024  for Class 10 and Class 12 like  CBSE Board Result ,  UP Board Result ,  Bihar Board Result ,  MP Board Result ,  Rajasthan Board Result  and Other States Boards.

• Rajasthan Anganwadi Vacancy 2024
• MP Board 5th, 8th Result 2024
• UP Board 10th 12th Result 2024
• 2nd PUC Karnataka Result 2024
• 2nd PUC Result 2024 Karnataka When, Where, and How
• 2nd PUC Toppers List 2024
• karresults.nic.in Karnataka 2nd PUC Results 2024
• TN SET Application Form 2024
• CBSE Study Material
• CBSE Class 10

Latest Education News

AP Inter Results 2024 Live: BIEAP Manabadi Intermediate (1st, 2nd Year) Results Today at 11 AM; Check Official Notice Online

Today’s IPL Match (12 April) - LSG vs DC: Team Squad, Match Time, Where to Watch Live and Stadium

viral brain teaser find the odd socks in the bunch within 19 seconds

[Official] AP Inter Results 2024 Manabadi Date and Time Announced: BIEAP 1st, 2nd Year Results Today at 11 AM, Stay Updated

Who Won Yesterday IPL Match: MI vs RCB, Match 25, Check All Details and Latest Points Table

All Can See Camel But Only 1% Of Genius Can Find The Horse Hidden In The Picture. 33 Seconds Left!

Who Won Yesterday IPL Match: RR vs GT, Match 24, Check All Details and Latest Points Table

[Current] Orange Cap and Purple Cap Holders in IPL 2024

[Today] IPL 2024 Points Table: Team Rankings and Net Run Rate

List of Fastest 50 in T20 International Cricket

IPL Points Table 2024: आईपीएल 2024 अपडेटेड पॉइंट टेबल यहां देखें, राजस्थान को मिली पहली हार

Fastest 50 in IPL History (2008 - 2024)

Fastest 50s In IPL History: आईपीएल इतिहास के सबसे तेज़ अर्द्धशतक की पूरी लिस्ट यहां पढ़े  

Lok Sabha Election 2024 के पहले फेज के 10 सबसे अमीर उम्मीदवारों की लिस्ट यहां देखें

Purple Cap in IPL 2024: इन पांच गेंदबाजों में है पर्पल कैप की रेस, कौन निकलेगा सबसे आगे?

IPL Orange Cap 2024: दिलचस्प हो गयी है ऑरेंज कैप की रेस, ये युवा बल्लेबाज रेस में है शामिल

Genius IQ Test: Find the value of the word “MATH” in 10 seconds!

Picture Puzzle IQ Test: Only 1% With Keen Vision Can Spot A Chocolate Ice Cream In 12 Seconds!

Optical Illusion IQ Test: Only 1% With Eagle Vision Can Spot A White Sock In 12 Seconds!

TS Inter Results 2024 Date and Time: Manabadi TSBIE 1st and 2nd Year Telangana Results on April 25? Know Latest Updates

Class 10 Maths Case Study Questions Chapter 2 Polynomials

• Post author: studyrate
• Post published:
• Post category: class 10th
• Post comments: 0 Comments

Case study Questions in the Class 10 Mathematics Chapter 2  are very important to solve for your exam. Class 10 Maths Chapter 2 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving Class 10 Maths Case Study Questions Chapter 2  Polynomials

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Polynomials Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 2 Polynomials

Case Study/Passage-Based Questions

Question 1:

Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoors on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of a parabola representing quadratic polynomial.

1. The shape of the path traced shown is

d) Parabola

Answer: d) Parabola

2. The graph of parabola opens upwards, if _______

b) a < 0

c) a > 0

Answer: c) a > 0

3. Observe the following graph and answer

In the above graph, how many zeroes are there for the polynomial?

Answer: d) 3

4. The three zeroes in the above shown graph are

b) -2, 3, 1

c) -3, -1, 2

d) -2, -3, -1

Answer: c) -3, -1, 2

5. What will be the expression of the polynomial?

a) x 3  + 2x 2  – 5x – 6

b) x 3  + 2x 2  – 5x + 6

c) x 3  + 2x 2  + 5x – 6

d) x 3  + 2x 2  + 5x + 6

Answer: a) x3 + 2×2 – 5x – 6

Answer: (b) parabolic

(ii) The expression of the polynomial represented by the graph is

Answer: (c) x2-36

(iii) Find the value of the polynomial represented by the graph when x = 6.

Answer: (c) 0

(iv) The sum of zeroes of the polynomial x 2  + 2x – 3 is

Answer: (b) -2

(v) If the sum of zeroes of polynomial at 2  + 5t + 3a is equal to their product, then find the value of a.

Answer:  (d) −53

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 2 Polynomials with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Polynomials Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

You Might Also Like

Extra questions of class 10 maths chapter 9 some applications of trigonometry pdf download, extra questions of class 10 science chapter 16 sustainable management of natural resources pdf download.

CBSE Class 10 Maths Chapter 7 –Coordinate Geometry MCQ’s Quiz

Leave a reply cancel reply.

Save my name, email, and website in this browser for the next time I comment.

• Privacy Policy
• Terms and Conditions

• Web Stories

Saturday, September 25, 2021

Class 10 maths case study based questions chapter 2 polynomials cbse board term 1 with answer key.

                   Hello students, Welcome to Maths Easy Institute.  

0 comments:

Post a comment.

Please do not enter any spam link in the comment box.

Warning: Do Not Copy!

• Blog Archives

• Best Books for IIT JEE
• Best Colleges Of India
• class 10 Case Study Based questions
• Class 10 Maths MCQ
• Class 11 Maths Case Study Questions
• Class 11 Maths MCQ
• Class 12 Math Case Study questions
• Class 12 Maths MCQ
• JEE MAIN MCQ
• Maths Strategy JEE
• News for Students

Blog Archive

• ►  April (3)
• ►  March (2)
• ►  February (1)
• ►  January (5)
• ►  December (9)
• ►  November (5)
• ►  October (6)
• Class 10 Maths Case Study Based Questions Chapter ...
• Case Study Based Questions Class 10 Chapter 1 Real...
• [Video] Indian Statistical (ISI) Institute Admissi...
• [Video] Last 10 days MATHS Strategy for JEE MAIN G...
• ►  April (4)
• ►  March (3)
• ►  October (2)
• ►  September (7)
• ►  August (2)
• ►  July (4)

CBSE Case Study Questions for Class 10 Maths Polynomials Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Polynomials in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 10 Maths Polynomials PDF

Mcq set 1 -, mcq set 2 -, checkout our case study questions for other chapters.

• Chapter 1: Real Numbers Case Study Questions
• Chapter 3: Pair of Linear Equations in Two Variables Case Study Questions
• Chapter 4: Quadratic Equation Case Study Questions
• Chapter 5: Arithmetic Progressions Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

Contact Form

Privacy Policy

myCBSEguide

• Mathematics
• Case Study Class 10...

Case Study Class 10 Maths Questions

Table of Contents

myCBSEguide App

Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.

Now, CBSE will ask only subjective questions in class 10 Maths case studies. But if you search over the internet or even check many books, you will get only MCQs in the class 10 Maths case study in the session 2022-23. It is not the correct pattern. Just beware of such misleading websites and books.

We advise you to visit CBSE official website ( cbseacademic.nic.in ) and go through class 10 model question papers . You will find that CBSE is asking only subjective questions under case study in class 10 Maths. We at myCBSEguide helping CBSE students for the past 15 years and are committed to providing the most authentic study material to our students.

Here, myCBSEguide is the only application that has the most relevant and updated study material for CBSE students as per the official curriculum document 2022 – 2023. You can download updated sample papers for class 10 maths .

First of all, we would like to clarify that class 10 maths case study questions are subjective and CBSE will not ask multiple-choice questions in case studies. So, you must download the myCBSEguide app to get updated model question papers having new pattern subjective case study questions for class 10 the mathematics year 2022-23.

Class 10 Maths has the following chapters.

• Real Numbers Case Study Question
• Polynomials Case Study Question
• Pair of Linear Equations in Two Variables Case Study Question
• Quadratic Equations Case Study Question
• Arithmetic Progressions Case Study Question
• Triangles Case Study Question
• Coordinate Geometry Case Study Question
• Introduction to Trigonometry Case Study Question
• Some Applications of Trigonometry Case Study Question
• Circles Case Study Question
• Area Related to Circles Case Study Question
• Surface Areas and Volumes Case Study Question
• Statistics Case Study Question
• Probability Case Study Question

Format of Maths Case-Based Questions

CBSE Class 10 Maths Case Study Questions will have one passage and four questions. As you know, CBSE has introduced Case Study Questions in class 10 and class 12 this year, the annual examination will have case-based questions in almost all major subjects. This article will help you to find sample questions based on case studies and model question papers for CBSE class 10 Board Exams.

Maths Case Study Question Paper 2023

Here is the marks distribution of the CBSE class 10 maths board exam question paper. CBSE may ask case study questions from any of the following chapters. However, Mensuration, statistics, probability and Algebra are some important chapters in this regard.

Case Study Question in Mathematics

Here are some examples of case study-based questions for class 10 Mathematics. To get more questions and model question papers for the 2021 examination, download myCBSEguide Mobile App .

Case Study Question – 1

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.

• Find the production in the 1 st year.
• Find the production in the 12 th year.
• Find the total production in first 10 years. OR In which year the total production will reach to 15000 cars?

Case Study Question – 2

In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.

• Find the distance between Lucknow (L) to Bhuj(B).
• If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
• Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P) OR Find a place (point) on the longitude (y-axis) which is equidistant from the points Lucknow (L) and Puri (P).

Case Study Question – 3

• Find the distance PA.
• Find the distance PB
• Find the width AB of the river. OR Find the height BQ if the angle of the elevation from P to Q be 30 o .

Case Study Question – 4

• What is the length of the line segment joining points B and F?
• The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
• What are the coordinates of the point on y axis equidistant from A and G? OR What is the area of area of Trapezium AFGH?

Case Study Question – 5

The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

• If the first circular row has 30 seats, how many seats will be there in the 10th row?
• For 1500 seats in the auditorium, how many rows need to be there? OR If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after 10 th row?
• If there were 17 rows in the auditorium, how many seats will be there in the middle row?

Case Study Question – 6

• Draw a neat labelled figure to show the above situation diagrammatically.

• What is the speed of the plane in km/hr.

More Case Study Questions

We have class 10 maths case study questions in every chapter. You can download them as PDFs from the myCBSEguide App or from our free student dashboard .

As you know CBSE has reduced the syllabus this year, you should be careful while downloading these case study questions from the internet. You may get outdated or irrelevant questions there. It will not only be a waste of time but also lead to confusion.

Here, myCBSEguide is the most authentic learning app for CBSE students that is providing you up to date study material. You can download the myCBSEguide app and get access to 100+ case study questions for class 10 Maths.

How to Solve Case-Based Questions?

Questions based on a given case study are normally taken from real-life situations. These are certainly related to the concepts provided in the textbook but the plot of the question is always based on a day-to-day life problem. There will be all subjective-type questions in the case study. You should answer the case-based questions to the point.

What are Class 10 competency-based questions?

Competency-based questions are questions that are based on real-life situations. Case study questions are a type of competency-based questions. There may be multiple ways to assess the competencies. The case study is assumed to be one of the best methods to evaluate competencies. In class 10 maths, you will find 1-2 case study questions. We advise you to read the passage carefully before answering the questions.

Case Study Questions in Maths Question Paper

CBSE has released new model question papers for annual examinations. myCBSEguide App has also created many model papers based on the new format (reduced syllabus) for the current session and uploaded them to myCBSEguide App. We advise all the students to download the myCBSEguide app and practice case study questions for class 10 maths as much as possible.

Case Studies on CBSE’s Official Website

CBSE has uploaded many case study questions on class 10 maths. You can download them from CBSE Official Website for free. Here you will find around 40-50 case study questions in PDF format for CBSE 10th class.

10 Maths Case Studies in myCBSEguide App

You can also download chapter-wise case study questions for class 10 maths from the myCBSEguide app. These class 10 case-based questions are prepared by our team of expert teachers. We have kept the new reduced syllabus in mind while creating these case-based questions. So, you will get the updated questions only.

Test Generator

Create question paper PDF and online tests with your own name & logo in minutes.

Question Bank, Mock Tests, Exam Papers, NCERT Solutions, Sample Papers, Notes

Related Posts

• CBSE Class 10 Maths Sample Paper 2020-21
• Class 12 Maths Case Study Questions
• CBSE Reduced Syllabus Class 10 (2020-21)
• Class 10 Maths Basic Sample Paper 2024
• How to Revise CBSE Class 10 Maths in 3 Days
• CBSE Practice Papers 2023
• Class 10 Maths Sample Papers 2024
• Competency Based Learning in CBSE Schools

Leave a Comment

Save my name, email, and website in this browser for the next time I comment.

Class 10 Maths Chapter 2 MCQ

Class 10 Maths Chapter 2 MCQ based on Case Study with answers and explanation for the first term exams 2024-25. All the questions including CBSE MCQ set of questions are answered with complete explanation. Class 10 Maths Chapter 2 Case study based MCQ of Polynomials helps the students to understand the pattern of CBSE question papers and way of answering.

During the skipping through skipping rope, its look like the in the form of parabola. It is a natural examples of parabolic shape which is represented by a quadratic polynomial. Similarly, we can observe in many other cases forming a in a variety of forms of different parabolas.

In the standard form of quadratic polynomial, ax² + bx + c, the condition between a, b and c are

Because if a = 0, the equation become linear. Then it is not a quadratic polynomial. Hence, the correct option is (C).

• View Answer

If the roots of the quadratic polynomial are unequal, where the discriminant D = b² – 4ac, then

We know that: If D = b² – 4ac 0, real and unequal roots. Hence, the correct option is (A).

If α and -α are the zeroes of the quadratic polynomial 2x² – 3(k – 4)x – 8, then k is

From the quadratic polynomial 2x² – 3(k – 4)x – 8 Sum of zeros = 3(k – 4)/2 [Because sum of zeros = -b/a] So, α + (- α) = 3(k – 4)/2, therefore, k – 4 = 0 or k = 4 Hence, the correct option is (A).

The graph of x² – 1 = 0

The given equation: x² – 1 = 0 or 1.x² + 0.x – 1 = 0 Here, a = 1, b = 0 and c = – 1 D = b² – 4ac = 0² – 4 х 1 х(- 1) = 4, therefore, there is two real root. So, the graph of the equation intersects x‐axis at two distinct points. Hence, the correct option is (A).

If the sum of the roots is p and product of the roots is -p, then the quadratic polynomial is

We know that the equation of a quadrilateral is given by: k [x² – (sum of roots)x + product of roots)] Therefore, the equation = k(x² – (p)x + (-p)] = k(x² – px – p) Hence, the correct option is (C).

The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.

In the standard form of quadratic polynomial, ax² + bx + c, a, b and c are

Because if a = 0, the equation become linear. Then it is not a quadratic equation. Hence, the correct option is (C).

If the roots of the quadratic polynomial are equal, where the discriminant D = b² – 4ac, then

We know that: If D = b² – 4ac 0, real and unequal roots. Hence, the correct option is (D).

If α and 1/ α are the zeroes of the quadratic polynomial 2x² – x + 8k, then k is

From the quadratic polynomial 2x² – x + 8k Product of zeros = 8k/4 [Because product of zeros = c/a] So, α x (1/α) = 8k/2 Therefore, 4k = 1 Hence, k = 1/4 Hence, the correct option is (B).

The graph of x² + 1 = 0

The given equation: x² + 1 = 0 or 1.x² + 0.x + 1 = 0 Here, a = 1, b = 0 and c = 1 D = b² – 4ac = 0² – 4 х 1 х 1 = – 4, therefore, there is no real root. So, the graph of the equation neither touches nor intersects x‐axis. Hence, the correct option is (C).

If the sum of the roots is –p and product of the roots is -1/p, then the quadratic polynomial is

We know that the equation of a quadrilateral is given by: k [x² – (sum of roots)x + product of roots)] Therefore, the equation = k(x² – (-p)x + (-1/p)] = k(x² + px – 1/p) Hence, the correct option is (C).

Observe the position of the athlete taking long jump. He use to follow every time a particular shape of path. In the figure, a student can observe that the different positions can be related to representation of quadratic polynomial.

The path of the different positions form a

When we draw a dotted line following the different positions of athlete, it show a parabolic path. So, it is a parabola. Hence, the correct option is (D).

If the above case is represented by quadratic polynomial ax² + bx + c, then

If a > 0, the parabola is upward. If a < 0, the parabola is downward. Hence, the correct option is (C).

If the sum of zeros of quadratic polynomial ax² + bx + c is equal to product of zero, then

Given polynomial: ax² + bx + c Sum of zeros = -b/a, Product of zeros = c/a, According to question, -b/a = c/a Therefore, – b = a or a + b = 0 Hence, the correct option is (C).

Observe the graph given below.

In the above graph, how many zeroes are there for the polynomial?

The graph of the polynomial cutting the x-axis at four distinct points. So, it has 4 zeros. Hence, the correct option is (D).

The four zeroes in the above shown graph are

The graph of the polynomial cutting x-axis at (-4, 0), (-2, 0), (1, 0) and (3, 0). So, the zeros of polynomial are -4, -2, 1 and 3. Hence, the correct option is (A).

An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.

The shape of the poses shown is

The pose shown above are in the format of parabola. Hence, the correct option is (D).

The graph of parabola opens downwards, if

The zeroes of the quadratic polynomial 4√3 x² + 5x – 2√3 are.

Given polynomial: 4√3 x² + 5x – 2√3 = 4√3 x² + 8x – 3x – 2√3 = 4x (√3x + 2) – √3 (√3x + 2) = (√3x + 2) (4x – √3) Putting (√3x + 2) (4x – √3) = 0 x = -2/√3 or x = √3/4 Hence, the correct option is (B).

Observe the following graph:

In the graph, how many zeroes are there for the polynomial?

The graph of the polynomial cutting the x-axis at two distinct points. So, it has two zeros. Hence, the correct option is (C).

The two zeroes in the above shown graph are

The graph of the polynomial cutting x-axis at (-2, 0) and (4, 0). So, the zeros of polynomial are -2 and 4. Hence, the correct option is (B).

Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.

The shape of the path traced shown is

The graph of parabola opens upwards, if.

Observe the following graph and answer:

The graph of the polynomial cutting the x-axis at three distinct points. So, it has three zeros. Hence, the correct option is (D).

The three zeroes in the above shown graph are

The graph of the polynomial cutting x-axis at (-3, 0), (-1, 0) and (2, 0). So, the zeros of polynomial are -3, -1 and 2. Hence, the correct option is (C).

What will be the expression of the polynomial?

The zeros of polynomial are -3, -1 and 2. Let α = -3, β = -1 and γ = 2 So, α + β + γ = -3 + (-1) + 2 = – 4 + 2 = -2 αβ + βγ + αγ = (-3)(-1) + (-1)(2) + (2)(-3) = 3 – 2 – 6 = – 5 αβγ = (-3)(-1)(2) = 6 Equation of polynomial = x³ – (α + β + γ) x² + (αβ + βγ + αγ) x – αβγ = x³ – (-2)x² + (- 5)x – 6 = x³ + 2x² – 5x – 6

Copyright 2024 by Tiwari Academy | A step towards Free Education

• New QB365-SLMS
• NEET Materials
• JEE Materials
• Banking first yr Materials
• TNPSC Materials
• DIPLOMA COURSE Materials
• 5th Standard Materials
• 12th Standard Materials
• 11th Standard Materials
• 10th Standard Materials
• 9th Standard Materials
• 8th Standard Materials
• 7th Standard Materials
• 6th Standard Materials
• 12th Standard CBSE Materials
• 11th Standard CBSE Materials
• 10th Standard CBSE Materials
• 9th Standard CBSE Materials
• 8th Standard CBSE Materials
• 7th Standard CBSE Materials
• 6th Standard CBSE Materials
• Tamilnadu Stateboard
• Scholarship Exams
• Scholarships

Class 10th Maths - Polynomials Case Study Questions and Answers 2022 - 2023

By QB365 on 09 Sep, 2022

QB365 provides a detailed and simple solution for every Possible Case Study Questions in Class 10th Maths Subject - Polynomials, CBSE. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

QB365 - Question Bank Software

Polynomials case study questions with answer key.

10th Standard CBSE

Final Semester - June 2015

(ii) The zeroes of the polynomial represented by the graph are

(iii) The sum of zeroes of the polynomial represented by the graph are

(iv) If a and β are the zeroes of the polynomial represented by the graph such that  \(\beta>\alpha, \text { then }|8 \alpha+\beta|=\)

(v) The expression of the polynomial represented by the graph is

(ii) The expression of the polynomial represented by the graph is

(iii) Find the value of the polynomial represented by the graph when x = 6.

(iv) The sum of zeroes of the polynomial x 2  + 2x - 3 is

(v) If the sum of zeroes of polynomial at 2  + 5t + 3a is equal to their product, then find the value of a.

(ii) What will be the expression for the polynomial represented by the graph?

(iii) What will be the value of polynomial represented by the graph, when x = 3?

(iv) If a and \(\beta\)  are the zeroes of the polynomial  \(f(x)=x^{2}+2 x-8 \text { , then } \alpha^{4}+\beta^{4}=\)

(v) Find a quadratic polynomial where sum and product of its zeroes are 0, \(\sqrt (7)\) respectively.

(ii) Find the value of \(\alpha\) + \(\beta\) +  \(\alpha\) \(\beta\) .

(iii) The value of p(2) is

(iv) If \(\alpha\) and \(\beta\) are zeroes of  \(x^{2}+x-2, \text { then } \frac{1}{\alpha}+\frac{1}{\beta}=\)

(v) If sum of zeroes of  \(q(x)=k x^{2}+2 x+3 k\)  is equal to their product, then k =

(ii) What will be the expression of the given polynomial p(x)?

(iii) Product of zeroes of the given polynomial is

(iv) The zeroes of the polynomial 9x 2 - 5 are

(v) If f(x) = x 2 - 13x + 1, then f(4) =

(ii) How many zeroes does the polynomial (shape of the creeper) have?

(iii) The zeroes of the polynomial, represented by the graph, are

(iv) The expression of the polynomial, represented by the graph, is

(v) For what value of x, the value of the polynomial, represented by the graph, is -5?

(ii) The axis of symmetry of the given parabola is

(iii) The zeroes of the polynomial, represented in the given graph, are

(iv) Which of the following polynomial has -2 and -3 as its zeroes?

(v) For what value of 'x', the value of the polynomial  \(f(x)=(x-3)^{2}+9 \text { is } 9 ?\)

(ii) Kavita drawn a parabola passing through (-4, 3), (-1,0), (1, 8), (0, 3), (-3,0) and (-2, -1) on the graph paper. Then zeroes of the polynomial representing the graph is

(iii) Which of the following is correct?

(iv) The product of roots of the polynomial 5x(x - 6) is

(v) The sum of zeroes of a quadratic polynomial  \(a x^{2}+b x+c, a \neq 0 \)  is

(ii) What will be the expression of the polynomial given in diagram?

(iii) What is the value of the polynomial, represented by the graph, when x = 4?

(iv) If the tunnel is represented by x 2  + 3x - 2, then its zeroes are

(v) If one zero is 4 and sum of zeroes is -3, then representation of tunnel as a polynomial is

(ii) The zeroes of the polynomial are the points where its graph 

(iii) The quadratic polynomial whose sum of zeroes is 0 and product of zeroes is 1 is given by

(iv) Which of the following has  \(\frac{-1}{2}\)  and 2 as their zeroes?

(v) The product of zeroes of the polynomial  \(\sqrt{3} x^{2}-14 x+8 \sqrt{3} \)  is

(iii) What will be the value of polynomial, represented by the graph, when x = 4?

(iv) If one zero of a polynomial p(x) is 7 and product of its zeroes is -35, then p(x) =

(v) If the gate is represented by the polynomial  \(-x^{2}+5 x-6\)   then its zeroes are

(ii) The sum of product of zeroes taken two at a time is

(iii) Product of zeroes of polynomial p(x) is

(iv) The value of the polynomial p(x), when x = 4 is

(v) If  \(\alpha,\beta,\gamma\)  are the zeroes of a polynomial g(x) such that  \(\alpha+\beta+\gamma=3, \alpha \beta+\beta \gamma+\gamma \alpha=-16\)   and  \(\alpha \beta \gamma=-48\)   then, g(x) =

(ii) If a polynomial, represented by a parabola, intersects the x-axis at -3, 4 and y-axis at -2, then its zero(es) is/are

(iii) If the barrier chains between two posts is represented by the polynomial  \(x^{2}-x-12\)  then its zeroes are

(iv) The sum of zeroes of the polynomial  \(4 x^{2}-9 x+2 \text { is }\)

(v) The reciprocal of product of zeroes of the polynomial  \(x^{2}-9 x+20 \text { is }\)

(ii) The sum of zeroes of the polynomial represented by the graph is

(iii) Find the value of the polynomial represented by the graph when x = 0.

(iv) The polynomial representing the graph drawn in the painting by Shruti is a

(v) The sum of product of zeroes, taken two at a time, of the polynomial represented by the graph is

(ii) If  \(-\frac{1}{2}\)  -2 and 5 are zeroes of a cubic polynomial, then the sum of product of zeroes taken two at a time is

(iii) In which of the following polynomials the sum and product of zeroes are equal?

(iv) The polynomial whose all the zeroes are same is

*****************************************

Polynomials case study questions with answer key answer keys.

(i) (b): Since, the given graph is parabolic is shape, therefore it will represent a quadratic polynomial. [ \(\therefore\)   Graph of quadratic polynomial is parabolic in shape 1 (ii) (c): Since, the graph cuts the x-axis at -1, 5. So the polynomial has 2 zeroes i.e., -1 and 5. (iii) (a) : Sum of zeroes = -1 + 5 = 4 (iv) (c): Since a and β are zeroes of the given polynomial and β > a \(\therefore\) a = - 1 and β = 5. \(\therefore|8 \alpha+\beta|=|8(-1)+5|=|-8+5|=|-3|=3 .\) (v) (d): Since the zeroes of the given polynomial are - 1 and 5. \(\therefore\) Required polynomial p(x) = k{ x 2 -(-1 + 5)x + (-1)(5)} = k(.x 2 - 4x - 5) For k = -1, we get p(x) = -.x 2 + 4x + 5, which is the required polynomial.

(i) (b): Graph of a quadratic polynomial is a parabolic in shape. (ii) (c): Since the graph of the polynomial cuts the x-axis at (-6,0) and (6, 0). So, the zeroes of polynomial are -6 and 6. \(\therefore\) Required polynomial is p(x) = x 2 - (-6 + 6)x + (-6)(6) = x 2 - 36 (iii) (c) : We have, p(x) = x 2 - 36 Now, p( 6) = 62 - 36 = 36 - 36 = 0 (iv) (b): Letf (x) = x 2 + 2x - 3. Then, \(\text { Sum of zeroes }=-\frac{\text { coefficient of } x}{\text { coefficient of } x^{2}}=-\frac{(2)}{1}=-2\) (v) (d): The given polynomial is at 2 + 5t + 3a Given, sum of zeroes = product of zeroes. \(\Rightarrow \quad \frac{-5}{a}=\frac{3 a}{a} \Rightarrow a=\frac{-5}{3}\)

(i) (b): Since the graph of the polynomial intersect the x-axis at  \(x=\frac{1}{2}, \frac{-7}{2}\) ,  therefore required zeroes of the polynomial are  \(\frac{1}{2} \text { and } \frac{-7}{2}\) (ii) (d):  \(\because \frac{1}{2} \text { and } \frac{-7}{2}\)  are the zeroes of the polynomial. So, at  \(x=\frac{1}{2}, \frac{-7}{2}\)  the value of the polynomial will be 0. From options, required polynomial is p(x) = -4x 2 - 12x + 7 (iii) (b) : we have,   \(p(x)=-4 x^{2}-12 x+7\) \(\therefore \quad p(3)=-4(3)^{2}-12(3)+7=-36-36+7=-65 \) (iv) (c): Here  \(f(x)=x^{2}+2 x-8 \text { and } \alpha, \beta \text { are its zeroes. }\) \(\therefore \quad \alpha+\beta=-2 \text { and } \alpha \beta=-8 \) \(\text { Now, } \alpha^{4}+\beta^{4}=\left(\alpha^{2}+\beta^{2}\right)^{2}-2 \alpha^{2} \beta^{2} \) \(=\left((\alpha+\beta)^{2}-2 \alpha \beta\right)^{2}-2(\alpha \beta)^{2} \) \(=\left[(-2)^{2}-2(-8)\right]^{2}-2(-8)^{2} \) \(=[4+16]^{2}-2(-8)^{2}=(20)^{2}-2(64) \) \(=400-128=272\) (v) (a): We have sum of zeroes = 0 and product of zeroes =  \(\sqrt(7)\) So, required polynomial . \(=k\left(x^{2}-0 \cdot x+\sqrt{7}\right) \) \(=k\left(x^{2}+\sqrt{7}\right)\)

(i) (b): Given, a and \(\beta\) are the zeroes of  \(p(x)=x^{2}-24 x+128\) \(\text { Putting } p(x)=0 \text { , we get }\) \( x^{2}-8 x-16 x+128=0 \) \(\Rightarrow x(x-8)-16(x-8)=0 \) \(\Rightarrow (x-8)(x-16)=0 \Rightarrow x=8 \text { or } x=16 \) \(\therefore \alpha=8, \beta=16\) (ii) (c) :  \(\alpha+\beta+\alpha \beta =8+16+(8)(16) =24+128=152 \) (iii) (d) :  \(p(2)=2^{2}-2 4(2)+128=4-48+128=84\) (iv) (a): Since a and \(\beta\) are zeroes of  \(x^{2}+x-2\) \(\therefore \quad \alpha+\beta=-1 \text { and } \alpha \beta=-2 \) \(\text { Now, } \frac{1}{\alpha}+\frac{1}{\beta}=\frac{\beta+\alpha}{\alpha \beta}=\frac{-1}{-2}=\frac{1}{2}\) (v) (c): Sum of zeroes  \(=\frac{-2}{k}\) Product of zeroes  \(=\frac{3 k}{k}=3\) According to question, we have  \(\frac{-2}{k}=3\) \(\Rightarrow \quad k=\frac{-2}{3}\)

(i) (b): Since, the graph intersects the x-axis at two points, namely x = -4, 7 So, -4, 7 are the zeroes of the polynomial. (ii) (d): p(x) = -x 2 + 3x + 28 (iii) (a) :   \(\text { Product of zeroes }=\frac{\text { Constant term }}{\text { Coefficient of } x^{2}}\) \(\therefore \quad \text { Required product of zeroes }=\frac{28}{-1}=-28\) (iv) (c): We have  \(9 x^{2}-5 =(3 x)^{2}-(\sqrt{5})^{2} =(3 x-\sqrt{5})(3 x+\sqrt{5}) \) \(\therefore x=\frac{\sqrt{5}}{3} \text { or } \frac{-\sqrt{5}}{3}\) (v) (b): Here,  \(f(x)=x^{2}-13 x+1\) \(\therefore \quad f(4)=4^{2}-13(4)+1=16-52+1=-35\)

(i) (c) : The shape represents a quadratic polynomial. (ii) (c): Since, the graph of polynomial cuts the x-axis at (-2, 0) and (4, 0). So, the polynomial has 2 zeroes. (iii) (a) : The zeroes of the polynomial are -2 and 4. (iv) (b): Required polynomial is  \(p(x)=x^{2}-(-2+4) x+(-2)(4)=x^{2}-2 x-8\) (v) (c): Consider, p(x) = -5 \(\Rightarrow \quad x^{2}-2 x-8=-5 \Rightarrow x^{2}-2 x-3=0\) \(\Rightarrow(x-3)(x+1)=0 \Rightarrow x=-1 \text { or } x=3\) \(\text { So, at } x=3 \text { and at } x=-1, p(x)=-5 \text { . }\)

(i) (b): The shape of the path of the soccer ball is a parabola. (ii) (c): The axis of symmetry of the given curve is a line parallel to y-axis. (iii) (a): The zeroes of the polynomial, represented in the given graph, are -2 and 7, since the curve cuts the x-axis at these points. (iv) (d): A polynomial having zeroes -2 and -3 is  \(p(x)=x^{2}-(-2-3) x+(-2)(-3)=x^{2}+5 x+6\) (v) (c): We have  \(f(x)=(x-3)^{2}+9\) \(\text { Now, } 9=(x-3)^{2}+9 \) \(\Rightarrow(x-3)^{2}=0 \Rightarrow x-3=0 \Rightarrow x=3\)

(i) (d): The general form of polynomial representing the parabolic graph is \(a x^{2}+b x+c, a \neq 0\) (ii) (c): The zeroes of the polynomial are the points at which its graph intersects the x-axis, i.e., whose y coordinate is 0. \(\therefore \quad \text { Zeroes are }-3 \text { and }-1 \text { . }\) (iii) (a) : A parabola intersects x-axis at maximum 2 points. (iv) (d): The product of roots of the polynomial 5x 2  - 30x  is 0,  \([\because \text { constant term }=0]\) (v) (c): Sum of zeroes of quadratic polynomial \(a x^{2}+b x+c, a \neq 0 \text { is } \frac{-b}{a}\)

(i) (a): Since, the graph intersects the x-axis at two points, namely x = 8, -2. So, 8, - 2 are the zeroes of the given polynomial. (ii) (b): The expression of the polynomial given in diagram is  \(-x^{2}+6 x+16\) (iii) (c) : Let  \(p(x)=-x^{2}+6 x+16\) \(\text { When } x=4, p(4)=-4^{2}+6 \times 4+16=24\) (iv) (d): Let  \(f(x)=-x^{2}+3 x-2\) Now, consider  \(f(x)=0 \Rightarrow-x^{2}+3 x-2=0\) \(\begin{aligned} &\Rightarrow x^{2}-3 x+2=0 \Rightarrow(x-2)(x-1)=0\\ &\Rightarrow x=1,2 \text { are its zeroes. } \end{aligned}\) (v) (b): Let a and \(\beta\)  are the zeroes of the required polynomial. Given  \(\alpha + \beta = - 3\) If \(\alpha\) = 4, then  \(\beta\) = -7 \(\therefore \quad \text { Representation of tunnel is }-x^{2}-3 x+28 \text { . }\)

(i) (b): Put  \(10 x^{2}-x-3=0\) \(\Rightarrow 10 x^{2}-6 x+5 x-3=0 \Rightarrow(2 x+1)(5 x-3)=0 \) \(\Rightarrow \quad x=\frac{-1}{2} \text { or } \frac{3}{5}\) \(\text { Thus, the zeroes are } \frac{3}{5} \text { and } \frac{-1}{2} \text { . }\) (ii) (a): The zeroes of the polynomial are the points where its graph intersect the x-axis. (iii) (d) (iv) (d) (v) (c): Product of zeroes  \(=\frac{8 \sqrt{3}}{\sqrt{3}}=8\) .

(i) (b): Since, the graph of the polynomial intersect the x-axis at x = 1, 3 therefore required zeroes of the polynomial are 1 and 3. (ii) (c) (iii) (c): Let  \(f(x)=-x^{2}+4 x-3\)   then  \(f(4) =-4^{2}+4 \times 4-3 \)   \(=-16+16-3=-3\) (iv) (a): Clearly, other zero  \(=\frac{-35}{7}=-5\) Thus, the zeroes are 7 and -5. From the options, 7 and -5 satisfies only  \(-x^{2}+2 x+35\) \(\text { So, } p(x)=-x^{2}+2 x+35\) (v) (b): Let  \(p(x)=-x^{2}+5 x-6\) For zeroes, consider p(x) = 0 \(\begin{array}{l} \Rightarrow \quad-x^{2}+5 x-6=0 \Rightarrow x^{2}-5 x+6=0 \\ \Rightarrow \quad x^{2}-3 x-2 x+6=0 \\ \Rightarrow \quad(x-3)(x-2)=0 \Rightarrow x=3,2 \end{array}\) Thus, the required zeroes are 3 and 2.

(i) (c): For finding  \(\alpha,\beta,\)   \(\gamma\)  consider p(x) = 0 \(\Rightarrow \quad x^{3}-18 x^{2}+95 x-150=0 \) \(\Rightarrow \quad(x-3)\left(x^{2}-15 x+50\right)=0 \) \(\Rightarrow \quad(x-3)(x-5)(x-10)=0 \Rightarrow x=10 \text { or } x=5 \text { or } x=3 \) \(\text { Thus } \alpha=10, \beta=5 \text { and } \gamma=3\) (ii) (d): Here  \(\alpha=10, \beta=5 \text { and } \gamma=3\) \(\therefore\)   Sum of product of zeroes taken two at a time \(\begin{array}{l} =\alpha \beta+\beta \gamma+\gamma \alpha=(10)(5)+(5)(3)+(3)(10) \\ =50+15+30=95 \end{array}\) (iii) (a): Product of zeroes of polynomial p(x) =  \(\alpha\beta\gamma\) = (10) (5) (3) = 150 (iv) (b): We have  \(p(x)=x^{3}-18 x^{2}+95 x-150\) \(\begin{array}{l} \text { Now, } p(4)=4^{3}-18(4)^{2}+95(4)-150 \\ =64-288+380-150=6 \end{array}\) (v) (d):   \(g(x)=x^{3}-(\alpha+\beta+\gamma) x^{2} +(\alpha \beta+\beta \gamma+\gamma \alpha) x-\alpha \beta \gamma \) \(\Rightarrow g(x)=x^{3}-3 x^{2}-16 x-(-48)=x^{3}-3 x^{2}-16 x+48\)

(i) (b) (ii) (d): Since, the parabola intersects the x-axis at -3 and 4. So, zeroes of the polynomial are -3 and 4. (iii) (c): Let  \(f(x)=x^{2}-x-12\) \(=x^{2}-4 x+3 x-12=(x+3)(x-4) \) \(\text { Consider } f(x)=0 \Rightarrow(x+3)(x-4)=0 \Rightarrow x=4,-3\) (iv) (b): Sum of zeroes  \(=-\frac{\text { Coefficient of } x}{\text { Coefficient of } x^{2}} \) \(=-\frac{(-9)}{4}=\frac{9}{4}\) (v) (c): Product of zeroes  \(=\frac{20}{1}=20\) \(\therefore\)  Reciprocal of product of zeroes  \(=\frac{20}{1}\)

(i) (c) : Since the graph intersect the x-axis at 3 points, therefore the polynomial has 3 zeroes. (ii) (d): Clearly the graph intersect the x-axis at x = -4, x = -2 and x = 1, therefore the zeroes are -4, -2 and 1. Now, the sum of zeroes = -4 - 2 + 1 = -5 (iii) (b): From the graph, it can be seen that When x = 0, then y = -8. (iv) (b): Since there are 3 zeroes, therefore the graph represents a cubic polynomial. (v) (a): The sum of product of zeroes taken two at a time = (-4)(-2) + (-2)(1) + (1)(-4) = 8 - 2 - 4 = 2

(i) (d): For finding zeroes, check whether  \(x^{3}-4 x^{2}-7 x+10\)   is 0 for given zeroes Let p(x) = x 3 - 4x 2  - 7x + 10. Then, Clearly p( -2) = p(1) = p(5) = 0 So, the zeroes are -2, 1 and 5. (ii) (d): Here  \(\alpha=\frac{-1}{2}, \beta=-2 \text { and } \gamma=5\) \(\therefore\) Sum of product of zeroes taken two at a time  \(=\alpha \beta+\beta \gamma+\gamma \alpha \) \(=\left(\frac{-1}{2}\right)(-2)+(-2)(5)+(5)\left(\frac{-1}{2}\right)=1-10-\frac{5}{2}=\frac{-23}{2}\) (iii) (d): Consider  \(x^{3}-x^{2}+5 x-1\) Sum of zeroes = 1 = Product of zeroes Now, consider x 3 - 4x Sum of zeroes = 0 = Product of zeroes. (iv) (b): Let a, a, a, be the zeroes of the cubic polynomial. [ \(\because\) All zeroes are same] Then, a3 = 1 => a = 1 [Using given options] So, the required polynomial is  \((x-1)^{3}=x^{3}-3 x^{2}+3 x-1\) (v) (a): Clearly x = 1 and x = 2 are the zeroes of given polynomial, both of which satisfies  \(x^{3}-5 x^{2}+8 x-4\)  

Related 10th Standard CBSE Maths Materials

10th standard cbse syllabus & materials, cbse 10th social science the making of a global world chapter case study question with answers, cbse 10th social science nationalism in india chapter case study question with answers, cbse 10th social science the rise of nationalism in europe chapter case study question with answers, cbse 10th science metals and non metals chapter case study question with answers, cbse 10th science acids, bases and salts chapter case study question with answers, cbse 10th science chemical reactions and equations chapter case study question with answers, class 10th science - our environment case study questions and answers 2022 - 2023, class 10th science - magnetic effects of electric current case study questions and answers 2022 - 2023, class 10th science - electricity case study questions and answers 2022 - 2023, class 10th science - human eye and the colourful world case study questions and answers 2022 - 2023, class 10th science - light reflection and refraction case study questions and answers 2022 - 2023, class 10th science - heredity and evolution case study questions and answers 2022 - 2023, class 10th science - how do organisms reproduce case study questions and answers 2022 - 2023, class 10th science - life processes case study questions and answers 2022 - 2023, class 10th science - periodic classification of elements case study questions and answers 2022 - 2023.

Class VI to XII

Tn state board / cbse, 3000+ q&a's per subject, score high marks.

10th Standard CBSE Study Materials

10th Standard CBSE Subjects

• Class 6 Maths
• Class 6 Science
• Class 6 Social Science
• Class 6 English
• Class 7 Maths
• Class 7 Science
• Class 7 Social Science
• Class 7 English
• Class 8 Maths
• Class 8 Science
• Class 8 Social Science
• Class 8 English
• Class 9 Maths
• Class 9 Science
• Class 9 Social Science
• Class 9 English
• Class 10 Maths
• Class 10 Science
• Class 10 Social Science
• Class 10 English
• Class 11 Maths
• Class 11 Computer Science (Python)
• Class 11 English
• Class 12 Maths
• Class 12 English
• Class 12 Economics
• Class 12 Accountancy
• Class 12 Physics
• Class 12 Chemistry
• Class 12 Biology
• Class 12 Computer Science (Python)
• Class 12 Physical Education
• GST and Accounting Course
• Excel Course
• Tally Course
• Finance and CMA Data Course
• Payroll Course

Interesting

• Learn English
• Learn Excel
• Learn Tally
• Learn GST (Goods and Services Tax)
• Learn Accounting and Finance
• GST Tax Invoice Format
• Accounts Tax Practical
• Tally Ledger List
• GSTR 2A - JSON to Excel

Are you in school ? Do you love Teachoo?

We would love to talk to you! Please fill this form so that we can contact you

You are learning...

Chapter 2 Class 10 Polynomials

Click on any of the links below to start learning from Teachoo ...

Updated the chapter according to the new NCERT Book for 2023-24 session

Get NCERT Solutions of C hapter 2 Class 10 Polynomials free at Teachoo. All NCERT Exercise Questions, Examples and Optional Questions have been solved with video of each and every question.

In this chapter, we will learn

• What is a polynomial
• What are monomial, binomials, trinomials
• What is the degree of polynomial
• What are linear, quadratic and cubic polynomials
• What are Zeroes of a Polynomials

• How to find Zeroes of a Polynomials (both quadratic and cubic)
• Quadratic Polynomial
• Cubic Polynomial
• Dividing two polynomials, and verifying the Division Algorithm for Polynomials

We have divided this chapter into 2 parts - Serial Order Wise and Concept Wise.

In Serial Order Wise, there are examples and exercises just like the NCERT Book. It is useful when we are looking to get an answer of a particular question.

That is not a good way of doing the chapter.

The best way to learning maths is through Concept Wise 

Concept wise is Teachoo's (टीचू) way of learning.

In concept wise, we have divided the chapter into concepts. First the concept is explained, and then the questions of that concept is solved - from easy to difficult.

Check it out now.

Serial order wise

Concept wise.

What's in it?

Hi, it looks like you're using AdBlock :(

Please login to view more pages. it's free :), solve all your doubts with teachoo black.

CBSE Expert

CBSE Class 10 Maths: Case Study Questions of Chapter 2 Polynomials PDF Download

Case study Questions in the Class 10 Mathematics Chapter 2  are very important to solve for your exam. Class 10 Maths Chapter 2 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based   questions for Class 10 Maths Chapter 2  Polynomials

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on  Assertion and Reason . There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Polynomials Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 2 Polynomials

Case Study/Passage-Based Questions

Question 1:

Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoors on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of a parabola representing quadratic polynomial.

1. The shape of the path traced shown is

d) Parabola

Answer: d) Parabola

2. The graph of parabola opens upwards, if _______

b) a < 0

c) a > 0

Answer: c) a > 0

3. Observe the following graph and answer

In the above graph, how many zeroes are there for the polynomial?

Answer: d) 3

4. The three zeroes in the above shown graph are

b) -2, 3, 1

c) -3, -1, 2

d) -2, -3, -1

Answer: c) -3, -1, 2

5. What will be the expression of the polynomial?

a) x 3  + 2x 2  – 5x – 6

b) x 3  + 2x 2  – 5x + 6

c) x 3  + 2x 2  + 5x – 6

d) x 3  + 2x 2  + 5x + 6

Answer: a) x3 + 2×2 – 5x – 6

Answer: (b) parabolic

(ii) The expression of the polynomial represented by the graph is

Answer: (c) x2-36

(iii) Find the value of the polynomial represented by the graph when x = 6.

Answer: (c) 0

(iv) The sum of zeroes of the polynomial x 2  + 2x – 3 is

Answer: (b) -2

(v) If the sum of zeroes of polynomial at 2  + 5t + 3a is equal to their product, then find the value of a.

Answer:  (d) −53

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 2 Polynomials with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Polynomials Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

Leave a Comment Cancel reply

Save my name, email, and website in this browser for the next time I comment.

Download India's best Exam Preparation App Now.

Key Features

• Revision Notes
• Important Questions
• Previous Years Questions
• Case-Based Questions
• Assertion and Reason Questions

No thanks, I’m not interested!

• Andhra Pradesh
• Chhattisgarh
• West Bengal
• Madhya Pradesh
• Maharashtra
• Jammu & Kashmir
• NCERT Books 2022-23
• NCERT Solutions
• NCERT Notes
• NCERT Exemplar Books
• NCERT Exemplar Solution
• States UT Book
• School Kits & Lab Manual
• NCERT Books 2021-22
• NCERT Books 2020-21
• NCERT Book 2019-2020
• NCERT Book 2015-2016
• RD Sharma Solution
• TS Grewal Solution
• DK Goel Solution
• TR Jain Solution
• Selina Solution
• Frank Solution
• ML Aggarwal Solution
• Lakhmir Singh and Manjit Kaur Solution
• I.E.Irodov solutions
• ICSE - Goyal Brothers Park
• ICSE - Dorothy M. Noronhe
• Sandeep Garg Textbook Solution
• Micheal Vaz Solution
• S.S. Krotov Solution
• Evergreen Science
• KC Sinha Solution
• ICSE - ISC Jayanti Sengupta, Oxford
• ICSE Focus on History
• ICSE GeoGraphy Voyage
• ICSE Hindi Solution
• ICSE Treasure Trove Solution
• Thomas & Finney Solution
• SL Loney Solution
• SB Mathur Solution
• P Bahadur Solution
• Narendra Awasthi Solution
• MS Chauhan Solution
• LA Sena Solution
• Integral Calculus Amit Agarwal Solution
• IA Maron Solution
• Hall & Knight Solution
• Errorless Solution
• Pradeep's KL Gogia Solution
• OP Tandon Solutions
• Sample Papers
• Previous Year Question Paper
• Value Based Questions
• CBSE Syllabus
• CBSE MCQs PDF
• Assertion & Reason
• New Revision Notes
• Revision Notes
• HOTS Question
• Marks Wise Question
• Toppers Answer Sheets
• Exam Paper Aalysis
• Concept Map
• CBSE Text Book
• Additional Practice Questions
• Vocational Book
• CBSE - Concept
• KVS NCERT CBSE Worksheets
• Formula Class Wise
• Formula Chapter Wise
• JEE Crash Course
• JEE Previous Year Paper
• Important Info
• JEE Mock Test
• JEE Sample Papers
• SRM-JEEE Mock Test
• VITEEE Mock Test
• BITSAT Mock Test
• Manipal Engineering Mock Test
• AP EAMCET Previous Year Paper
• COMEDK Previous Year Paper
• GUJCET Previous Year Paper
• KCET Previous Year Paper
• KEAM Previous Year Paper
• Manipal Previous Year Paper
• MHT CET Previous Year Paper
• WBJEE Previous Year Paper
• AMU Previous Year Paper
• TS EAMCET Previous Year Paper
• SRM-JEEE Previous Year Paper
• VITEEE Previous Year Paper
• BITSAT Previous Year Paper
• UPSEE Previous Year Paper
• CGPET Previous Year Paper
• CUSAT Previous Year Paper
• AEEE Previous Year Paper
• Crash Course
• Previous Year Paper
• NCERT Based Short Notes
• NCERT Based Tests
• NEET Sample Paper
• Previous Year Papers
• Quantitative Aptitude
• Numerical Aptitude Data Interpretation
• General Knowledge
• Mathematics
• Agriculture
• Accountancy
• Business Studies
• Political science
• Enviromental Studies
• Mass Media Communication
• Teaching Aptitude
• NAVODAYA VIDYALAYA
• SAINIK SCHOOL (AISSEE)
• Mechanical Engineering
• Electrical Engineering
• Electronics & Communication Engineering
• Civil Engineering
• Computer Science Engineering
• CBSE Board News
• Scholarship Olympiad
• School Admissions
• Entrance Exams
• All Board Updates
• Miscellaneous
• State Wise Books
• Engineering Exam
• STATE WISE BOOKS
• ENGINEERING EXAM
• SCHOLARSHIP OLYMPIAD
• STATE BOOKS

CBSE Class 10 Maths Case Study

CBSE Board has introduced the case study questions for the ongoing academic session 2021-22. The board will ask the paper on the basis of a different exam pattern which has been introduced this year where 50% syllabus is occupied for MCQ for Term 1 exam. Selfstudys has provided below the chapter-wise questions for CBSE Class 10 Maths. Students must solve these case study based problems as soon as they are done with their syllabus. 

These case studies are in the form of Multiple Choice Questions where students need to answer them as asked in the exam. The MCQs are not that difficult but having a deep and thorough understanding of NCERT Maths textbooks are required to answer these. Furthermore, we have provided the PDF File of CBSE Class 10 maths case study 2021-2022.

Class 10 Maths (Formula, Case Based, MCQ, Assertion Reason Question with Solutions)

In order to score good marks in the term 1 exam students must be aware of the Important formulas, Case Based Questions, MCQ and Assertion Reasons with solutions. Solving these types of questions is important because the board will ask them in the Term 1 exam as per the changed exam pattern of CBSE Class 10th.

Important formulas should be necessarily learned by the students because the case studies are solved with the help of important formulas. Apart from that there are assertion reason based questions that are important too. 

Assertion Reasoning is a kind of question in which one statement (Assertion) is given and its reason is given (Explanation of statement). Students need to decide whether both the statement and reason are correct or not. If both are correct then they have to decide whether the given reason supports the statement or not. In such ways, assertion reasoning questions are being solved. However, for doing so and getting rid of confusions while solving. Students are advised to practice these as much as possible.

For doing so we have given the PDF that has a bunch of MCQs questions based on case based, assertion, important formulas, etc. All the Multiple Choice problems are given with detailed explanations.

CBSE Class 10th Case study Questions

Recently CBSE Board has the exam pattern and included case study questions to make the final paper a little easier. However, Many students are nervous after hearing about the case based questions. They should not be nervous because case study are easy and given in the board papers to ease the Class 10th board exam papers. However to answer them a thorough understanding of the basic concepts are important. For which students can refer to the NCERT textbook.

Basically, case study are the types of questions which are developed from the given data. In these types of problems, a paragraph or passage is given followed by the 5 questions that are given to answer . These types of problems are generally easy to answer because the data are given in the passage and students have to just analyse and find those data to answer the questions.

CBSE Class 10th Assertion Reasoning Questions

These types of questions are solved by reading the statement, and given reason. Sometimes these types of problems can make students confused. To understand the assertion and reason, students need to know that there will be one statement that is known as assertion and another one will be the reason, which is supposed to be the reason for the given statement. However, it is students duty to determine whether the statement and reason are correct or not. If both are correct then it becomes important to check, does reason support the statement? 

Moreover, to solve the problem they need to look at the given options and then answer them.

CBSE Class 10 Maths Case Based MCQ

CBSE Class 10 Maths Case Based MCQ are either Multiple Choice Questions or assertion reasons. To solve such types of problems it is ideal to use elimination methods. Doing so will save time and answering the questions will be much easier. Students preparing for the board exams should definitely solve these types of problems on a daily basis.

Also, the CBSE Class 10 Maths MCQ Based Questions are provided to us to download in PDF file format. All are developed as per the latest syllabus of CBSE Class Xth.

Class 10th Mathematics Multiple Choice Questions

Class 10 Mathematics Multiple Choice Questions for all the chapters helps students to quickly revise their learnings, and complete their syllabus multiple times. MCQs are in the form of objective types of questions whose 4 different options are given and one of them is a true answer to that problem. Such types of problems also aid in self assessment.

Case Study Based Questions of class 10th Maths are in the form of passage. In these types of questions the paragraphs are given and students need to find out the given data from the paragraph to answer the questions. The problems are generally in Multiple Choice Questions.

The Best Class 10 Maths Case Study Questions are available on Selfstudys.com. Click here to download for free.

To solve Class 10 Maths Case Studies Questions you need to read the passage and questions very carefully. Once you are done with reading you can begin to solve the questions one by one. While solving the problems you have to look at the data and clues mentioned in the passage.

In Class 10 Mathematics the assertion and reasoning questions are a kind of Multiple Choice Questions where a statement is given and a reason is given for that individual statement. Now, to answer the questions you need to verify the statement (assertion) and reason too. If both are true then the last step is to see whether the given reason support=rts the statement or not.

CBSE Class 10 Exams Finish, When Can You Expect Results? Details Here

CBSE Board Class 10 Information Technology Answer Key 2024 and Question Papers, Download PDF All SETs

CBSE Board Class 10 Computer Applications Answer Key 2024 and Question Papers, Download PDF All SETs

CBSE Class 10 Information Technology Exam 2024 : Most Important Questions Answers for Last-Minute Revision

CBSE Class 10 Computer Applications Exam 2024 : Most Important Questions Answers for Last-Minute Revision

CBSE Board Class 10 Maths Answer Key 2024 and Question Papers, Download PDF All SETs

• NCERT Solutions for Class 12 Maths
• NCERT Solutions for Class 10 Maths
• CBSE Syllabus 2023-24
• Social Media Channels
• Login Customize Your Notification Preferences

• Second click on the toggle icon

Provide prime members with unlimited access to all study materials in PDF format.

Allow prime members to attempt MCQ tests multiple times to enhance their learning and understanding.

Provide prime users with access to exclusive PDF study materials that are not available to regular users.

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials

NCERT Solutions Class 10 Maths Chapter 2 Polynomials are provided here to help the students of CBSE class 10. Our expert teachers prepared all these solutions as per the latest CBSE syllabus and guidelines. In this chapter, we have discussed the Zeroes of polynomial, Relationship between Zeroes and Coefficients of a Polynomial and Division Algorithm for Polynomials in details. CBSE Class 10 Maths solutions provide a detailed and step-wise explanation of each answer to the questions given in the exercises of NCERT books.

CBSE Class 10 Maths Chapter 2 Polynomials Solutions

Below we have given the answers to all the questions present in Polynomials in our NCERT Solutions for Class 10 Maths chapter 2. In this lesson, students are introduced to a lot of important concepts that will be useful for those who wish to pursue mathematics as a subject in their future classes. Based on these solutions, students can prepare for their upcoming Board Exams. These solutions are helpful as the syllabus covered here follows NCERT guidelines.

NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.1

NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.2

NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.3

NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.4

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Course: Class 10   >   Unit 2

• Polynomials intro
• The parts of polynomial expressions

Polynomials 2.1

• (Choice A)   6 x 5 + x 4 + 7 ‍   A 6 x 5 + x 4 + 7 ‍  
• (Choice B)   7 x 6 − 6 x 4 + 5 ‍   B 7 x 6 − 6 x 4 + 5 ‍  
• (Choice C)   7 x 5 + 2 x 2 + 6 ‍   C 7 x 5 + 2 x 2 + 6 ‍  
• (Choice D)   6 x 7 − x 5 + 5 ‍   D 6 x 7 − x 5 + 5 ‍  

• CBSE Class 10
• Class 10 Maths Objective Questions
• Chapter 2 Polynomials Objective Questions

CBSE Class 10 Maths Chapter 2 Polynomials Objective Questions

CBSE Class 10 Maths Chapter 2 Polynomials Objective Questions cover all the important concepts present in the chapter. It explains Polynomials and their applications in detail in this chapter. Students can learn about the division algorithm for polynomials of integers and also whether the zeros of quadratic polynomials are related to their coefficients from this chapter. As this is one of the important topics in Maths, it comes under the unit – Algebra. This CBSE Class 10 Maths Chapter 2 – Polynomials Objective Questions help students to get acquainted with solving MCQs.

Here, for the convenience of the students, we have compiled a list of topic-wise MCQs from this chapter. From the upcoming academic session, objective-type questions are expected to appear more often.

List of Sub-Topics Covered in Chapter 2

Solving these CBSE Class 10 Maths Objective Questions will help the students to get a proper foundation in the subject. These MCQs are compiled in this article for students to download and practise so that they get acquainted with answering the objective type of questions. Meanwhile, see here the list of sub-topics we have covered in this chapter:

2.1 Basics Revisited (2 MCQs from This Topic)

2.2 Graphical Representations (2 MCQs Covered from This Topic)

2.3 Visualisation of a Polynomial (2 MCQs from This Topic)

2.4 Zeros of a Polynomial (3 MCQs from This Topic)

2.5 Factorisation of polynomials (3 MCQs from This Topic)

2.6 Relationship between Zeros and Coefficient (2 MCQs from The Topic)

2.7 Division Algorithm (2 MCQs Covered from This Topic)

2.8 Algebraic Identities (3 MCQs from This Topic)

Download Free CBSE Class 10 Maths Chapter 2 – Polynomials Objective Questions PDF

Basics revisited.

• Write the coefficient of  x 2 in each of the following.

Answer: C. 1, -1, π/2, 0

Solution: The constant multiplied by x 2 is the coefficient of x 2

(1) 2 + x 2 + x → coefficient of x 2  = 1

(2) 2 – x 2 + x 3 → coefficient of x 2  = -1

(3) (π/2 ) x 2 +x → coefficient of x 2  = π/2

(4) √2 x−1 → coefficient of x 2  = 0

• Constant Polynomial
• Cubic Polynomial
• Quadratic Polynomial
• Linear Polynomial

Answer: D. Linear Polynomial

Solution: The polynomial of degree one is called a linear polynomial.

Therefore, x−323 is a linear polynomial.

Graphical Representations

• Three curves, i.e. a) y = x 2 b) y = x 4 c) y = x 6, are depicted in the graph shown below. Which of the polynomials does graph 3 represent?

• Cannot be determined

Answer: B. y = x 6

Solution: Consider the polynomial where n is a positive even integer.

As the value of n increases, then the curve goes closer to the positive y-axis.

Thus, graph 3 represents the polynomial x 6

• Three curves, i.e.,

a) Y = −x 2

b) y = −x 3

c) y = −x 7

are depicted in the following graph and are numbered from 1 to 3.

Identify the correct relation.

• (a)-(1) , (b)-(2), (c)-(3)
• (a)-(3) , (b)-(2), (c)-(1)
• (a)-(1) , (b)-(3), (c)-(2)
• (a)-(2) , (b)-(3), (c)-(1)

Answer : A. (a)-(1), (b)-(2), (c)-(3)

Solutions: When a polynomial is of the form y = −x n , the graph of the polynomial is the mirror image of the graph of the polynomial y = x n .

Also, when the value of n increases, the graph draws closer to the y-axis.

Thus, graph 1 represents y = −x 2 , graph 2 represents y = −x 3 and graph 3 represents y = −x 7

Visualisation of a Polynomial

Answer: D. 0

Solution: Substituting the values,

X 2 +4xy+4y 2

= (2) 2 + 4(2) (-1) + 4(-1) 2

• According to the graph below, the product of the zeroes of the polynomial will be

Answer : C. Negative

Solution: One of the zeros of the polynomial lies on the positive x-axis. Thus, the abscissa or the x -coordinate, which is the corresponding zero, is positive.

The other zero lies on the negative x-axis. Thus, the abscissa or x -coordinate, which is the corresponding zero, is negative.

Thus, the product of zeroes is going to be positive negative = negative.

Zeroes of a Polynomial

• More than 3

Answer: A. More than 3

Solution: (x-3) A (X-7) B , where a and b can take any natural number values.

Hence, infinite possibilities.

• If α, β and γ are the zeros of the polynomial

Answer : B. –(c/d)

Solutions: If α, β and γ are the zeros of the polynomial

Answer: C. 9

Solution: Here a = 1, b = -p, c = 36.

Factorisation of Polynomials

• (x+5) (2x-3)
• (x+3) (2x-5)
• (x-5) (2x+3)
• (x-3) (2x-5)

Answer: C. (x-5) (2x+3)

Solution: Find two numbers such that their product is -30 and the sum is -7.

• (x+5) (x-3)
• (x-6) (x+1)
• (x-1) (x+5)
• (x-2) (x-3)

Answer : D. (x-2) (x-3)

Answer: B. 2x +1

Relationship between Zeroes and Coefficients

• Find the sum  and product of roots  for the given polynomial:

Answer : A. -(1/2), – (5/2)

Solution: We know that, for a quadratic equation

ax 2 + bx+ c = 0 sum of roots = α+β & product of roots = αβ

Comparing 2x 2 +x−5=0 with ax 2 + bx+ c=0, we get

a=2, b=1, c=−5

⇒α+β= – (1/2)

⇒αβ= – (5/2)

Answer: D. –(b/a)

Solution: We know that for a cubic polynomial ax 3 +bx 2 +cx+d Sum of zeroes =  – (b/a)

Therefore, p+q+r= – (b/a).

Division Algorithm

• In the division algorithm, when should one stop the division process?

1. When the remainder is zero.

2. When the degree of the remainder is less than the degree of the divisor.

3. When the degree of the quotient is less than the degree of the divisor.

• Statements 1 and 2 are correct
• Statements 2 and 3 are correct
• Statements 1 and 3 are correct
• Only statement 3 is correct

Answer: (A) Statements 1 and 2 are correct

Solution: We stop the division process when either the remainder is zero, or its degree is less than the degree of the divisor.

Answer: C. -3, -2, 3

Solution: P (3) = 48 + 3k = 21

Hence, x 3 +2x 2 −9x+3= (x−3) x Quotient + 21

⇒x 3 +2x 2 −9x−18 =9x−3) x Quotient

Quotient = (x3+2x 2 −9x−18) / (x-3)

Factorising the quotient, x 2 + 5x +6= x 2 + 3x + 2x +6 = x(x+3) +2(x+3) =(x+2) (x+3)

Hence, the factors of x 3 +2x 2 −9x−18 are x−3, x+2 and x+3

⇒ the zeroes are -3,-2, 3.

Algebraic Identities

Answer: C. 98

• f α and β are the zeros of the polynomial

Answer: B. 45/8

Answer: C. b 2

Solution: To make (a 2 +2ab) a perfect square, b 2  is to be added.

Here, we have compiled 19 questions from Chapter 2 Polynomials of the CBSE Class 10 Maths in the downloadable PDF link that we have given in the article above. Also, find some extra CBSE Class 10 Maths Chapter 2 MCQs here.

CBSE Class 10 Maths Chapter 2 Extra MCQs

1. Given that one zero of the quadratic polynomial x² + 3x + k is 2,  what is the value of k?  (a) -10 (b) 10 (c) 5 (d) -5

2. Given that the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and -3, what are a and b? (a) a = 5, b = -1 (b) a = -7, b = -1 (c) a = 2, b = -6 (d) a – 0, b = -6

3. The number of zeroes that a linear polynomial has/have is _____. (a) 1 (b) 2 (c) 0 (d) 3

Keep learning and stay tuned to BYJU’S to get the latest news on the CBSE exam along with study materials, sample question papers, marking schemes, and more.

Leave a Comment Cancel reply

Your Mobile number and Email id will not be published. Required fields are marked *

Request OTP on Voice Call

Post My Comment

• Share Share

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.

Counselling