Let . (a) If the remainder when is divided by is , determine the value of . (b) Using…

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

Problem

Let g(x)=2x3−(k−1)x2+3x−4g(x)=2x^{3}-(k-1)x^{2}+3x-4. (a) If the remainder when g(x)g(x) is divided by x−2x-2 is 1010, determine the value of kk. (b) Using the value of kk obtained in part (a), find the remainder when g(x)g(x) is divided by x+1x+1.

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