The polynomial can be expressed as a product of two linear factors and one quadratic…

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

Problem

The polynomial g(x)=x4+x3+2x2+4x−8g(x)=x^{4}+x^{3}+2x^{2}+4x-8 can be expressed as a product of two linear factors and one quadratic factor that cannot be split further over the real numbers. Which of the following gives this complete factorisation? (a) (x−1)(x−2)(x2+4)(x-1)(x-2)(x^{2}+4) (b) (x−1)(x+2)(x2+4)(x-1)(x+2)(x^{2}+4) (c) (x−1)(x+2)(x2−4)(x-1)(x+2)(x^{2}-4) (d) (x−1)(x+2)(x2+2x+4)(x-1)(x+2)(x^{2}+2x+4)

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