The cubic polynomial is given.

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The cubic polynomial f(x)=2x3+3x2−11x−6f(x)=2x^3+3x^2-11x-6 is given. (i) Evaluate f(2)f(2). (ii) Hence, verify whether (x−2)(x-2) is a factor of f(x)f(x). (iii) After confirming your answer in part (ii), factorise f(x)f(x) completely into linear factors.

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