Consider . If is a factor of , which of the following represents the complete…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider g(x)=2x3+x2−13x+6g(x)=2x^{3}+x^{2}-13x+6. If x−2x-2 is a factor of g(x)g(x), which of the following represents the complete factorisation of g(x)g(x) over real numbers? (a) (x−2)(2x+1)(x−3)(x-2)(2x+1)(x-3) (b) (x+2)(2x−1)(x−3)(x+2)(2x-1)(x-3) (c) (x−2)(2x−1)(x+3)(x-2)(2x-1)(x+3) (d) (x−2)(x−1)(2x+3)(x-2)(x-1)(2x+3)

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