Let . (i) Divide by and write the quotient and remainder. (ii) Using the division…

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

Problem

Let f(x)=3x4−2x3+5x−7f(x)=3x^{4}-2x^{3}+5x-7. (i) Divide f(x)f(x) by x−2x-2 and write the quotient and remainder. (ii) Using the division obtained in part (i), find the value of f(2)f(2) without substituting x=2x=2 directly in f(x)f(x).

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