CBSE Class 10 Mathematics Polynomials Worksheet Set A

Question. The zeroes of the polynomial x² – 3x – m(m + 3) are:
(a) m, m + 3
(b) -m, m + 3
(c) m, - (m + 3)
(d) -m, - (m + 3)
Answer : B

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) –(a/c)
(b) c/a
(c) 0
(d) -(b/a) 
Answer : B

Question. The quadratic polynomial, the sum of whose zeroes is -5 and their product is 6, is
(a) x² + 5x + 6
(b) x² – 5x + 6
(c) x² – 5x – 6
(d) – x² + 5x + 6
Answer : A

Question. If the zeroes of the quadratic polynomial x² + (a + 1)x + b are 2 and -3, then:
(a) a = -7, b = -1
(b) a = 5, b = -1
(c) a = 2, b = –6
(d) a = 0, b = –6
Answer : D

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) b – a + 1
(b) b – a - 1
(c) a – b + 1
(d) a – b - 1
Answer : A

Question. If one of the zeroes of the quadratic polynomial x² + 3x + k is 2, then the value of k is
(a) 10
(b) -10
(c) –7
(d) –2
Answer : B

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

Question. If the zeroes of the quadratic polynomial ax² + bx + c, where c ≠ 0 are equal, then:
(a) c and a have opposite signs
(b) c and b have opposite signs
(c) c and a have the same sign
(d) c and b have the same sign
Answer : C

Question. If a, b are the zeros of the polynomial 5x² – 7x + 2, then the sum of their reciprocal is:
(a) 7/2
(b) 7/5
(c) 2/5
(d) 14/25
Answer : A

Question. The degree of the polynomial (x + 1) (x² – x + x⁴ - 1) is:
(a) 2
(b) 3
(c) 4
(d) 5
Answer : D

Question. The zeroes of the quadratic polynomial x² + 99x + 127 are:
(a) both positive
(b) both negative
(c) one positive and one negative
(d) both equal
Answer : B

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

Please click on below link to download CBSE Class 10 Mathematics Polynomials Worksheet Set A