The polynomial is divisible by both and

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The polynomial P(x)=2x3+px2+qx+6P(x)=2x^{3}+px^{2}+qx+6 is divisible by both (x−1)(x-1) and (x+2)(x+2). Determine the values of pp and qq.

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