Let P(x) be a polynomial of degree 5 having extrema at x=−1,1 and li – InterviewSolution

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1.	Let P(x) be a polynomial of degree 5 having extrema at x=−1,1 and limx→0(P(x)x3−2)=4. If M and m are the maximum and minimum values of the function y=P′(x) on the set A={x:x2+6≤5x}, then the value of mM is
Answer» Let $P (x)$ be a polynomial of degree $5$ having extrema at $x = - 1, 1$ and $lim x \to 0 (\frac{P (x)}{x^{3}} - 2) = 4.$ If $M$ and $m$ are the maximum and minimum values of the function $y = P^{'} (x)$ on the set $A = {x : x^{2} + 6 \leq 5 x},$ then the value of $\frac{m}{M}$ is

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