Question

x-1 is a factor of 4x^2-9x-6.

(a) True

(b) False

This question was addressed to me in an interview.

Question is taken from Factorisation of Polynomials and Algebraic Identities topic in portion Polynomials of Mathematics – Class 9

Answer 1

Correct choice is (b) False

Explanation: According to factor theorem, x-a is a factor of p(x) if p(a) = 0.

Therefore x-1 is a factor of 4x^2-9x-6 is a factor if p(1)=0.

p(1) = 4(1)^2-9(1)-6 = 4 – 9 – 6

= -11 ≠ 0

Therefore, we can say that x-1 is not a factor of 4x^2-9x-6.