CBSE Class 10 Mathematics Polynomials Worksheet Set C

Read and download the CBSE Class 10 Mathematics Polynomials Worksheet Set C in PDF format. We have provided exhaustive and printable Class 10 Mathematics worksheets for Chapter 2 Polynomials, designed by expert teachers. These resources align with the 2025-26 syllabus and examination patterns issued by NCERT, CBSE, and KVS, helping students master all important chapter topics.

Chapter-wise Worksheet for Class 10 Mathematics Chapter 2 Polynomials

Students of Class 10 should use this Mathematics practice paper to check their understanding of Chapter 2 Polynomials as it includes essential problems and detailed solutions. Regular self-testing with these will help you achieve higher marks in your school tests and final examinations.

Class 10 Mathematics Chapter 2 Polynomials Worksheet with Answers

Case Study Based Questions

IV. A student of class Xth are interested in drawing so he draw some mathematical shape on the ground with chalk. He has some questions in his mind which he wants to know. Answer the following questions:

""CBSE-Class-10-Mathematics-Polynomials-Worksheet-Set-C

Question. What is the name of the shape of the figure?
(a) Ellipse
(b) parabola
(c) linear
(d) spiral
Answer : B

Question. How many zeroes are there for the polynomial?
(a) 1
(b) 2
(c) 3
(d) 4
Answer : B

Question. The zeroes of the polynomial are
(a) –2, 0
(b) 0, 2
(c) –1, 2
(d) –2, 2
Answer : D

Question. The expression of the polynomial is
(a) x2 + 4x + 4
(b) x2 – 4x + 4
(c) x2 – 4
(d) x2 – 4x – 4
Answer : C

Question. The value of the polynomial if x = –2 is
(a) 16
(b) 12
(c) 8
(d) 0
Answer : D

V. In a game to entertain themselves, students of class-10th have drawn following figure with chalk on the ground. They have some questions in their mind which they want to solve.
Please answer and solve their question.

""CBSE-Class-10-Mathematics-Polynomials-Worksheet-Set-C-1

Question. The number of zeroes of the polynomial P(x) is
(a) 1
(b) 2
(c) 3
(d) 4
Answer : B

Question. The zeroes of the polynomial are
(a) 1, 3
(b) –1, 3
(c) 1, –3
(d) –1, –3
Answer : A

Question. The expression of the polynomial is
(a) x2 + 4x + 3
(b) x2 – 4x + 3
(c) x2 + 4x – 3
(d) x2 – 4x – 3
Answer : B

Question. The value of the polynomial if x = 3 i
(a) 24
(b) 0
(c) 18
(d) –6
Answer : B

Question. What is the degree of the polynomial?
(a) 0
(b) 1
(c) 2
(d) 3
Answer : C

VI. To scare his friends in a street, a naughty boy spread a rope which looks in some mathematical shape.
Now few questions arises in his mind which he wants you to answer.

""CBSE-Class-10-Mathematics-Polynomials-Worksheet-Set-C-2

Question. Name the shape between points A and B.
(a) linear
(b) parabola
(c) ellipse
(d) spiral
Answer : B

Question. The number of zeroes of the polynomial y = p(x) is
(a) 1
(b) 2
(c) 3
(d) 4
Answer : D

Question. The zeroes of the polynomial are
(a) –4, –2, 2, 4
(b) –4, –1, 2, 4
(c) –4, –2, 0, 4
(d) –2, 0, 2, 4
Answer : A

Question. The expression of the polynomial is
(a) x4 + 20x2 + 64
(b) x4 – 20x2 + 64
(c) x4 – 20x2 – 64
(d) x4 + 20x2 – 64
Answer : B

Question. The value of the polynomial when x = 2 is
(a) 144
(b) –128
(c) 0
(d) 32
Answer : C

 

Q.- Find the zero of the polynomial in each of the following cases :

(i) p(x) = x + 5
(ii) p(x) = 2x + 5
(iii) p(x) = 3x – 2
 
Sol. To find the zero of a polynomial p(x) means to solve the polynomial equation p(x) = 0.
(i) For the zero of polynomial p(x) = x + 5
p(x) = 0
=> x + 5 = 0
=> x = –5
∴ x = –5 is a zero of the polynomial
p(x) = x + 5.
 
(ii) p(x) = 0  => 2x + 5 = 0 
 => 2x = –5 and x = -5/2
 
∴ x = -5/2
is a zero of p(x) = 2x + 5.
 
(iii) p(x) = 0  => 3x – 2 = 0 
 => 3x = 2 and x =2/3
 
∴ x = 2/3 is zero of p(x) = 3x – 2
 
Q.- Form the quadratic polynomial whose zeroes are 4 and 6.
 
Sol. Sum of the zeroes = 4 + 6 = 10
Product of the zeroes = 4 × 6 = 24
Hence the polynomial formed
= x2 – (sum of zeroes) x + Product of zeroes
= x2 – 10x + 24
 
Q.- Form the quadratic polynomial whose zeroes are –3, 5.
 
Sol. Here, zeroes are – 3 and 5.
Sum of the zeroes = – 3 + 5 = 2
Product of the zeroes = (–3) × 5 = – 15
Hence the polynomial formed
= x2 – (sum of zeroes) x + Product of zeroes
= x2 – 2x – 15
 
Q.- Find the degree of the polynomial :
(i) 5x – 6x3 + 8x7 + 6x2
(ii) 2y12 + 3y10 – y15 + y + 3
(iii) x
(iv) 8
 
Sol. (i) Since the term with highest exponent (power) is 8x7 and its power is 7.
∴ The degree of given polynomial is 7.
 
(ii) The highest power of the variable is 15
 => degree = 15.
 
(iii) x = x1 => degree is 1.
 
(iv) 8 = 8x0 => degree = 0
 
Q.- find the zeroes of the quadratic polynomial x2 – 2x – 8 and verify a relationship between zeroes and its coefficients.
 
Sol. x2 – 2x – 8 = x2 – 4x + 2x – 8
= x (x – 4) + 2 (x – 4) = (x – 4) (x + 2)
So, the value of x2 – 2x – 8 is zero when
x – 4 = 0 or x + 2 = 0 i.e., when x = 4 or x = – 2.
So, the zeroes of x2 – 2x – 8 are 4, – 2.
Sum of the zeroes

polynomials notes 7

verify the relationship between the zeroes and the coefficients. 2x3 + x2 – 5x + 2 ; 1/2, 1, – 2
 
Very Short Answer Type Questions
 
Factorize each of the following expression
 
Q.1 x2 – x – 42
Ans- (x + 6) (x – 7)
 
Q.2 6 – 5y – y2
Ans-(6 + y) (1 – y)
 
Q.3 a2 + 46a + 205
Ans-(a + 41) (a + 5)
 
Q.4 ab + ac – b2 – bc
Ans-(a – b) (b + c)
 
Q.5 p4 – 81q4
Ans- (p + 3q) (p – 3q) (p2 + 9q2)
 
Q.6 p(x) = 2x2 – 5x + 7, q(x) = x – 1
Ans-  4 7. – 5
 
Q.7 p(x) = x9 – 5x4 + 1 , q(x) = x + 1
Ans- 5
 
Q.8 p(x) = 2x3 – 3x2 + 4x – 1 , q(x) = x + 2
Ans- -37

 

Please click the below link to access CBSE Class 10 Mathematics Polynomials Worksheet Set C

CBSE Mathematics Class 10 Chapter 2 Polynomials Worksheet

Students can use the practice questions and answers provided above for Chapter 2 Polynomials to prepare for their upcoming school tests. This resource is designed by expert teachers as per the latest 2026 syllabus released by CBSE for Class 10. We suggest that Class 10 students solve these questions daily for a strong foundation in Mathematics.

Chapter 2 Polynomials Solutions & NCERT Alignment

Our expert teachers have referred to the latest NCERT book for Class 10 Mathematics to create these exercises. After solving the questions you should compare your answers with our detailed solutions as they have been designed by expert teachers. You will understand the correct way to write answers for the CBSE exams. You can also see above MCQ questions for Mathematics to cover every important topic in the chapter.

Class 10 Exam Preparation Strategy

Regular practice of this Class 10 Mathematics study material helps you to be familiar with the most regularly asked exam topics. If you find any topic in Chapter 2 Polynomials difficult then you can refer to our NCERT solutions for Class 10 Mathematics. All revision sheets and printable assignments on studiestoday.com are free and updated to help students get better scores in their school examinations.

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How can I use worksheets to improve my Class 10 Mathematics scores?

Regular practice with Class 10 Mathematics worksheets can help you understand all concepts better, you can identify weak areas, and improve your speed and accuracy.