CBSE Class 10 Mathematics Polynomials MCQs Set 01

Download CBSE MCQs for Class 10 Mathematics: Chapter 02 Polynomials

Access targeted multiple-choice questions for Chapter 02 Polynomials designed to align with the latest CBSE academic syllabus for Class 10 Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.

Chapter-wise Objective Questions: Chapter 02 Polynomials

Access the complete set of multiple-choice questions for Chapter 02 Polynomials below. This focused format allows students to isolate specific topics for thorough review and uninterrupted practice alongside official CBSE textbooks.

Question :  If 5 is a zero of the quadratic polynomial x2 - kx -15, then the value of k is

a) 2

b) –2

c) 4

d) – 4

Answer : 2

 

Question : A quadratic polynomial with 3 and 2 as the sum and product of its zeroes respectively is

a) x2 -3x +2

b) x2 -2x +2

c) x2 -2x -2

d) None of these

Answer :  x2 -3x +2

 

Question : A quadratic polynomial, whose zeroes are 5 and –8 is

a) x2 +3x - 40

b) None of these

c) x2 -3x - 40

d) x2 -13x - 40

Answer :  x2 +3x - 40

 

Question : The number of polynomials having exactly two zeroes 1 and –2 is

a) 1

b) 2

c) 3

d) infinitely many

Answer : 1

 

Question :  Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is

a) c/a

b) 0

c) -b/a

d) -c/a

Answer : c/a

 

Question :  Given that two of the zeroes of the cubic polynomial ax 3 + bx2 + cx + d are 0, the value of c is

a) equal to 0

b) can’t say

c) greater than 0

d) less than 0

Answer : equal to 0

 

Question :  If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then

a) c and a have the same sign

b) c and b have the same sign

c) c and a have opposite signs

d) c and b have opposite signs

Answer : c and a have the same sign

 

Question :  The zeroes of the quadratic polynomial x2 + kx + k, k ¹ 0

a) cannot both be positive

b) are always equal

c) cannot both be negative

d) are always unequal

Answer : cannot both be positive

 

Question :  The zeroes of the quadratic polynomial x2 + ax + b a, b > 0 are

a) both negative

b) both positive

c) one positive one negative

d) can’t say

Answer : both negative

 

Question : If the graph of a polynomial intersects the x-axis at exactly two points, then it

a) can be a cubic or a quadratic polynomial

b) cannot be a linear or a cubic polynomial

c) can be a quadratic polynomial only

d) can be a linear or a quadratic polynomial

Answer : can be a cubic or a quadratic polynomial

 

Question :  The zeroes of the quadratic polynomial x2 +99x +127 are

a) both negative

b) both equal

c) both positive

d) one positive and one negative

Answer : both negative

 

Question : If ‘a’ and ‘b’ are unequal and x2 + ax + b and x2 + bx + a have a common factor, then a + b is equal to
a) –1 
b) 0 
c) 1 
d) –2
 
Answer : A
 
Question : Find the zeros of x(x - 3)
a) 1,3 
b) 0, 2 
c) 0, 3 
d) 2, 1
 
Answer : C
 
Question : Find the zeroes of (x+2) (2x-1)
a) –2, 1/2
b) 2,-1/2
c) –2, 1 
d) 2, -1
 
Answer : A
 
Question : Which of the following is a zero of 3x2 - 5x - 2?
a) 2 
b) 1 
c) 4 
d) 3
 
Answer : A
 
Question : The value of 6a + 11 b , if x3 – 6x2 + ax + b is exactly divisible by (x2 – 3x + 2) is
a) 0 
b) 132 
c) 66 
d) – 66
 
Answer : A
 
Question : If α" role="presentation" style="display: inline-table; line-height: normal; font-size: 17.6px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; font-family: Tahoma, Arial, serif; position: relative;">α
, β, γ are the zeroes of the polynomial x3 - 6x2 - x + 30 , then the value of (αβ + βγ+ γα) is-
a) –1 
b) 1 
c) -5 
d) 30
 
Answer : A
 
Question : If –2 and 3 are the zeroes of the quadratic polynomial x2 + (a +1)x + b , then
a) a = –2, b = 6 
b) a = 2, b = – 6 
c) a = –2, b = –6 
d) a = 2, b = 6
Answer : C
 
Question : If α, β be the zeroes of the polynomial x2 - 8x + k such that α2 + β2 = 40 , then k =?
a) 6 
b) 9 
c) 12
d) –12
 
Answer : C
 
Question : If α, β be the zeroes of the polynomial 2x2 + 5x + k such that 4 α2 + β2 +α,β = 21/4 , then k =?
a) 3 
b) –3 
c) –2 
d) 2
 
Answer : D
 
Question : How many polynomials are there having 4 and –2 as zeroes?
a) One 
b) Two 
c) Three 
d) More than three
 
Answer : D

Question. The value of k for which (–4) is a zero of the polynomial x2 – x – (2k +2) is
(a) 3
(b) 9
(c) 6
(d) –1

Question. If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then 
cbse-class-10-mathematics-polynomials-mcqs-set-a
(a) c and a have opposite sign
(b) c and b have opposite sign
(c) c and a have the same sign
(d) c and b have the same sign

Question. The number of zeroes of the polynomial from the graph is
(a) 0
(b) 1
(c) 2
(d) 3

Question. If one of the zero of the quadratic polynomial x2 +3x + k is 2, then the value of k is
(a) 10
(b) –10
(c) 5
(d) –5

Question. A quadratic polynomial whose zeroes are –3 and 4 is
(a) x2 – x +12
(b) x2 +x + 12
(c) 2x2 + 2x – 24.
(d) none of the above.

Question. The relationship between the zeroes and coefficients of the quadratic polynomial ax2 + bx + c is
(a) α + β = c/a
(b) α + β = -b/a
(c) α + β =-c/a
(d) α + β = b/a

Question. The zeroes of the polynomial x2 + 7x + 10 are
(a) 2 and 5
(b) –2 and 5
(c) –2 and –5
(d) 2 and –5

Question. The relationship between the zeroes and coefficients of the quadratic polynomial ax2 + bx + c is
(a) α.β = c/a
(b) α.β = -b/a
(c) α.β = -c/a
(d) α.β = b/a

Question. The zeroes of the polynomial x2 – 3 are
(a) 2 and 5
(b) –2 and 5
(c) –2 and –5
(d) none of the above

Question. The number of zeroes of the polynomial from the graph is
(a) 0
(b) 1
(c) 2
(d) 3

Question. A quadratic polynomial whose sum and product of zeroes are –3 and 2 is 
cbse-class-10-mathematics-polynomials-mcqs-set-a
(a) x2 – 3x +2
(b) x2 + 3x + 2
(c) x2 + 2x – 3.
(d) x2 + 2x + 3.

Question. The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ,
(a) cannot both be positive
(b) cannot both be negative
(c) are always unequal
(d) are always equal

Question : Which of the following is a polynomial

a) 3x2 -3x +1

b) x2 + x-2 +7

c) 2x2 -3x +1

d) None of these

Answer :  3x2 -3x +1

Question :  If one zero of the quadratic polynomial x2 -5x + k is –4 ,then the value of k is

a) –36

b) 18

c) –18

d) 36

Answer : –36

Question :  If the zeroes of the quadratic polynomial x2 +(a +1)x + b are 2 and –3, then

a) a = 0, b = -6

b) a = 2, b = -6

c) a = 5, b = -1

d) a = -7, b = -1

Answer : a = 0, b = -6

Question : If a polynomial of degree 6 is divided by a polynomial of degree 2, then the degree of the

a) equal to 4

b) equal to 2

c) less than 2

d) less than 4

Answer : equal to 4

Question :  If one of the zeroes of a quadratic polynomial of the form x2 + ax + b is negative of the other, then it

a) has no linear term and the constant term is negative

b) has no linear term and the constant term is positive

c) can have a linear term but the constant term is positive

d) can have a linear term but the constant term is negative

Answer : has no linear term and the constant term is negative

Question : A quadratic polynomial with sum and product of its zeroes as 8 and –9 respectively is

a) x2 -8x -9

b) x2 + 8x -9

c) x2 - 8x +9

d) None of these

Answer :  x2 -8x -9

Question :  If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is –1, then the product of the other two zeroes is

a) a - b -1

b) b - a -1

c) b - a +1

d) a - b +1

Answer : a - b -1

Question : The quadratic polynomial having zeroes –3 and 2 is

a) x2 + x -6

b) x2 + x +6

c) x2 - x +6

d) x2 - x -6

Answer :  x2 + x -6

Question :  If the zeroes of the quadratic polynomial ax2 + bx + c, c≠0 are equal, then

a) c and a have the same sign

b) c and a have opposite signs

c) c and b have opposite signs

d) c and b have the same sign

Answer : c and a have the same sign

Question :  If one of the zeroes of a quadratic polynomial of the form x2 + ax + b is the negative of the other, then it

a) has no linear term and the constant term is negative.

b) has no linear term and the constant term is positive

c) can have a linear term but the constant term is negative

d) can have a linear term but the constant term is positive

Answer : has no linear term and the constant term is negative.

Question :  If the zeroes of the quadratic polynomial x2 +(a +1) x + b are 2 and –3, then

a) a = 0, b = -6

b) a = 2, b = -6

c) a = 5, b = -1

d) a = -7, b = -1

Answer : a = 0, b = -6

Question :  If f(x) = ax2 + bx + c has no real zeroes and a + b + c < 0, then

a) c > 0

b) c < 0

c) none of these

d) c = 0

Answer : c > 0

 

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FAQs

Where can I access latest CBSE Class 10 Mathematics Polynomials MCQs Set 01?

You can get most exhaustive CBSE Class 10 Mathematics Polynomials MCQs Set 01 for free on StudiesToday.com. These MCQs for Class 10 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 10 material?

Yes, our CBSE Class 10 Mathematics Polynomials MCQs Set 01 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

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By solving our CBSE Class 10 Mathematics Polynomials MCQs Set 01, Class 10 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 10 Mathematics Polynomials MCQs Set 01?

Yes, Mathematics MCQs for Class 10 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

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