Consider a polynomial of the least degree that has a maximum equal to at and a…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Consider a polynomial p(x)p(x) of the least degree that has a maximum equal to 66 at x=1x=1 and a minimum equal to 22 at x=3x=3. Find p(2)+p′(0)−7p(2)+p'(0)-7.

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