Let P(x) be a real polynomial of degree 3 which vanishes at x=–3. Le – InterviewSolution

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1.	Let P(x) be a real polynomial of degree 3 which vanishes at x=–3. Let P(x) have local minima at x=1, local maxima at x=–1 and 1∫−1P(x)dx=18, then the sum of all the coefficients of the polynomial P(x) is equal to
Answer» Let $P (x)$ be a real polynomial of degree $3$ which vanishes at $x = - 3.$ Let $P (x)$ have local minima at $x = 1,$ local maxima at $x = - 1$ and $1 \int - 1 P (x) d x = 18$ , then the sum of all the coefficients of the polynomial $P (x)$ is equal to

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