The polynomial has as a zero

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

The polynomial

q(x)=4x^3+4x^2-7x+2

has

x=\frac{1}{2}

as a zero. Which one of the following is the complete factorisation of

q(x)

over the real numbers? (a)

(2x-1)^2(x-2)

(b)

(2x-1)(x+1)(2x+2)

(c)

(2x-1)^2(x+2)

(d)

(2x-1)(x+2)^2