Practice CBSE Class 10 Mathematics Polynomials MCQs Set A provided below. The MCQ Questions for Class 10 Chapter 2 Polynomials Mathematics with answers and follow the latest CBSE/ NCERT and KVS patterns. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects
MCQ for Class 10 Mathematics Chapter 2 Polynomials
Class 10 Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Chapter 2 Polynomials
Chapter 2 Polynomials MCQ Questions Class 10 Mathematics with Answers
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
Answer : C
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 
(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 
(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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Important Practice Resources for Class 10 Mathematics
MCQs for Chapter 2 Polynomials Mathematics Class 10
Students can use these MCQs for Chapter 2 Polynomials to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Our expert teachers suggest that you should practice daily and solving these objective questions of Chapter 2 Polynomials to understand the important concepts and better marks in your school tests.
Chapter 2 Polynomials NCERT Based Objective Questions
Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for Class 10. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Chapter 2 Polynomials, you should also refer to our NCERT solutions for Class 10 Mathematics created by our team.
Online Practice and Revision for Chapter 2 Polynomials Mathematics
To prepare for your exams you should also take the Class 10 Mathematics MCQ Test for this chapter on our website. This will help you improve your speed and accuracy and its also free for you. Regular revision of these Mathematics topics will make you an expert in all important chapters of your course.
You can get most exhaustive CBSE Class 10 Mathematics Polynomials MCQs Set A for free on StudiesToday.com. These MCQs for Class 10 Mathematics are updated for the 2025-26 academic session as per CBSE examination standards.
Yes, our CBSE Class 10 Mathematics Polynomials MCQs Set A include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.
By solving our CBSE Class 10 Mathematics Polynomials MCQs Set A, 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.
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.
Yes, you can also access online interactive tests for CBSE Class 10 Mathematics Polynomials MCQs Set A on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.