Refer to CBSE Class 10 Mathematics Polynomials MCQs provided below. CBSE Class 10 Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Class 10 Mathematics with answers have been prepared as per the latest syllabus, CBSE books and examination pattern suggested in Class 10 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 2 Polynomials are an important part of exams for Class 10 Mathematics and if practiced properly can help you to get higher marks. 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 refer to the following multiple-choice questions with answers for Chapter 2 Polynomials in Class 10. These MCQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks
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 not the graph of a quadratic polynomial?
a)
b)
c)
d)
Answer :
Question :
a) –1, –1
b) 1, –1
c) 1, 1
d) 3, –3
Answer : –1, –1
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
Question. If α,β are the zeroes of the polynomials f(x) = x2 + x + 1, then 1/α + 1/β
(a) 0
(b) 1
(c) –1
(d) none of these
Question. If one of the zero of the polynomial f(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of the other then k =
(a) 2
(b) 1
(c) –1
(d) – 2
Question. If α,β are the zeroes of the polynomials f(x) = 4x2 + 3x + 7, then 1/α + 1/β
(a) 7/3
(b) -7/3
(c) 3/7
(d) -3/7
Question. If the sum of the zeroes of the polynomial f(x) = 2x3 – 3kx2 + 4x – 5 is 6, then value of k is
(a) 2
(b) 4
(c) –2
(d) – 4
Question. The zeroes of a polynomial p(x) are precisely the x-coordinates of the points, where the graph of y = p(x) intersects the
(a) x – axis
(b) y – axis
(c) origin
(d) none of the above
Question. If α,β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α +1)(β +1) =
(a) c – 1
(b) 1 – c
(c) c
(d) 1 + c
Question. A quadratic polynomial can have at most …….. zeroes
(a) 0
(b) 1
(c) 2
(d) 3
Question. A cubic polynomial can have at most …….. zeroes.
(a) 0
(b) 1
(c) 2
(d) 3
Question. Which are the zeroes of p(x) = x2 – 1:
(a) 1, –1
(b) – 1, 2
(c) –2, 2
(d) –3, 3
Question. Which are the zeroes of p(x) = (x – 1)(x – 2):
(a) 1, –2
(b) – 1, 2
(c) 1, 2
(d) –1, –2
Question. Which of the following is a polynomial?
Question. Which of the following is not a polynomial?
Question. If α,β are the zeroes of the polynomials f(x) = x2 + 5x + 8, then α +β
(a) 5
(b) –5
(c) 8
(d) none of these
Question. If α,β are the zeroes of the polynomials f(x) = x2 + 5x + 8, then α.β
(a) 0
(b) 1
(c) –1
(d) none of these
Question. On dividing x3 + 3x2 + 3x +1 by x +π we get remainder:
(a) - π3 + 3π2 - 3π + 1
(b) π3 - 3π2 + 3π+1
(c) - π3 - 3π2 - 3π-1
(d) - π3 + 3π2 - 3π -1
Question. The zero of p(x) = 9x + 4 is:
(a) 4/9
(b) 9/4
(c) -4/9
(d) -9/4
Question. On dividing x3 + 3x2 + 3x +1 by 5 + 2x we get remainder:
(a) 8/27
(b) -8/27
(c) -27/8
(d) 27/8
Question. A quadratic polynomial whose sum and product of zeroes are –3 and 4 is
(a) x2 – 3x +12
(b) x2 + 3x + 12
(c) 2x2 + x – 24
(d) none of the above
Question. A quadratic polynomial whose zeroes are 3/5 and -1/2 is
(a) 10x2 – x – 3
(b) 10x2 + x – 3
(c) 10x2 – x + 3
(d) none of the above.
Question. A quadratic polynomial whose sum and product of zeroes are 0 and 5 is
(a) x2 – 5
(b) x2 + 5
(c) x2 + x – 5
(d) none of the above.
Question. A quadratic polynomial whose zeroes are 1 and –3 is
(a) x2 – 2x – 3
(b) x2 + 2x – 3
(c) x2 – 2x + 3
(d) none of the above.
Question. A quadratic polynomial whose sum and product of zeroes are –5 and 6 is
(a) x2 – 5x – 6
(b) x2 + 5x – 6
(c) x2 + 5x + 6
(d) none of the above.
Question. Which are the zeroes of p(x) = x2 + 3x – 10 :
(a) 5, –2
(b) –5, 2
(c) –5, –2
(d) none of these
Question. Which are the zeroes of p(x) = 6x2 – 7x – 3 :
(a) 5, –2
(b) –5, 2
(c) –5, –2
(d) none of these
Question. Which are the zeroes of p(x) = x2 + 7x + 12 :
(a) 4, –3
(b) –4, 3
(c) –4, –3
(d) none of these
Question : The degree of the polynomial whose graph is given below:
(a) 1
(b) 2
(c) ≥3
(d) cannot be fixed
Question : If the sum of the zeroes of the polynomial 3x2 – kx + 6 is 3, then the value of k is:
(a) 3
(b) –3
(c) 6
(d) 9
Question : The other two zeroes of the polynomial x3 – 8x2 + 19x – 12 if tis one zeroes is x = 1 are:
(a) 3, –4
(b) –3, –4
(c) –3, 4
(d) 3, 4
Question : The quadratic polynomial, the sum and product of whose zeroes are –3 and 2 is:
(a) x2 – 3x + 2
(b) x2 + 3x – 2
(c) x2 + 3x + 2
(d) none of the these.
Question : The third zero of the polynomial, if the sum and product of whose zeroes are –3 and 2 is:
(a) 7
(b) –7
(c) 14
(d) –14
Question. If √5/3 and -√5/3 are two zeroes of the polynomial 3x4 + 6x3 – 2x2 – 10x – 5, then its other two zeroes are:
(a) –1, –1
(b) 1, –1
(c) 1, 1
(d) 3, –3
Question. If a – b, a and a + b are zeroes of the polynomial x3 – 3x2 + x + 1 the value of (a + b) is
(a) 1± √2
(b) -1±√2
(c) -1-√2
(d) 3
Question. A real numbers a is called a zero of the polynomial f(x), then
(a) f(a) = –1
(b) f(a) = 1
(c) f(a) = 0
(d) f(a) = –2
Question. Which of the following is a polynomial:
(a) x2+1/x√z
(b) 2x2 -3√x + 1
(c) x2 + x-2 + 7
(d) 3x2 - 3x +1
Question. The product and sum of zeroes of the quadratic polynomial ax2 + bx + c respectively are:
(a) b/a , c/a
(b) c/a , b/a
(c) c/b , 1
(d) c/a , -b/a
Question. The quadratic polynomial, sum and product of whose zeroes are 1 and –12 respectively is
(a) x2 – x – 12
(b) x2 + x – 12
(c) x2 – 12x + 1
(d) x2 – 12x – 1.
Question. If the product of two of the zeroes of the polynomial 2x3 – 9x2 + 13x – 6 is 2, the third zero of the polynomial is:
(a) –1
(b) –2
(c) 3/2
(d) -3/2
Question : If one of the zeroes of the quadratic polynomial (k – 1) x2+ kx + 1 is – 3, then the value of k is
(a) 4/3
(b) (-4)/3
(c) 2/3
(d) (-2)/3
Answer : A
Question : The number of polynomials having zeroes as -2 and 5 is
(a) 1
(b) 2
(c) 3
(d) more than 3
Answer : D
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 : A
Question : If 2 is a zero of the polynomial p(x) = k x2 +3 x + k, then the value of k is
(a) 5/6
(b) (-5)/6
(c) 6/5
(d) (-6)/5
Answer : D
Question : If the sum of the zeroes of the quadratic polynomial k x2 + 2x + 3k is equal to their product, then k is equal to
(a) 1/3
(b) (-2)/3
(c) (-1)/3
(d) 2/3
Answer : B
Question : If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
(a) 10
(b) -10
(c) 5
(d) -5
Answer : B
Question : If zeroes of p(x) = 2 x2 - 7x + k reciprocal of each other
(a) 1
(b) 2
(c) 3
(d) -7
Answer : B
Question : If one zero of the quadratic polynomial x2 - 4x + 1 is 2 + √3, then the other zero is
(a) -2 + √3
(b) -√3 -2
(c) 2 - √3
(d) √3 + 1
Answer : C
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