Consider the polynomial

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

Problem

Consider the polynomial p(x)=3x3+kx2+mx+1p(x)=3x^{3}+kx^{2}+mx+1. The remainder obtained on dividing p(x)p(x) by x−1x-1 is 55, whereas the remainder obtained on dividing it by x+2x+2 is −7-7. What is the value of mm? (a) 66 (b) −6-6 (c) −2-2 (d) 44

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