The polynomial is divisible by

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

Problem

The polynomial p(x)=x3+3(k−1)x2+3(k−1)2x+(k−1)3−8p(x)=x^3+3(k-1)x^2+3(k-1)^2 x+(k-1)^3-8 is divisible by (x−2)(x-2). What is the value of kk? (a) k=0k=0 (b) k=3k=3 (c) k=1k=1 (d) k=2k=2

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