Refer to CBSE Class 10 Mathematics Polynomials MCQs Set B provided below available for download in Pdf. The MCQ Questions for Class 10 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 2 Polynomials Class 10 MCQ are an important part of exams for Class 10 Mathematics and if practiced properly can help you to improve your understanding and 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.
Chapter 2 Polynomials MCQ Questions Class 10 Mathematics with Answers
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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MCQs for Chapter 2 Polynomials Mathematics Class 10
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