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x-1 is a factor of 4x^2-9x-6.(a) True(b) FalseThis 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»

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.



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