CBSE Class 10 Mathematics Polynomials Worksheet Set B

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. 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. Zeroes of a polynomial p(x) can be determined graphically. No. of zeroes of a polynomial is equal to no. of points where the graph of polynomial
(a) intersects y-axis
(b) intersects x-axis
(c) intersects y-axis or intersects x-axis
(d) none of the options

Answer: B

Question. If graph of a polynomial p(x) does not intersects the x-axis but intersects y-axis in one point, then no. of zeroes of the polynomial is equal to
(a) 0
(b) 1
(c) 0 or 1
(d) none of the options

Answer: A

Question. If p(x) = ax² + bx + c and a + b + c = 0, then one zero is
(a) -b/a
(b) c/a
(c) b/c
(d) none of the options

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 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 zeroes of p(x) = 2x² – 7x + k are reciprocal of each other, then value of k is
(a) 1
(b) 2
(c) 3
(d) 4

Answer: B

In the following questions 9 and 10, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.

Question. Assertion (A): x² + 4x + 5 has two real zeroes.
Reason (R): A quadratic polynomial can have at the most two zeroes.
Answer: p(x) = 0 ⇒ x² + 4x + 5 = 0

Question. Assertion (A): If the sum of the zeroes of the quadratic polynomial x² – 2kx + 8 are is 2 then value of k is 1.
Reason (R): Sum of zeroes of a quadratic polynomial ax² + bx + c is –b/a
Answer: Relation is true as we know that Sum of zeroes = b

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