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 \int_{-1}^{1} P(x) d x=18, then the sum of all the coefficients of the polynomial P(x) is equal to [18 Mar 2021 Shift 2]

JEE Main 18 March 2021 Shift 2 Solved Paper

Section: Mathematics

Question : 85 of 90

Marks: +1, -0

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

P(x)dx=18, then the sum of all the coefficients of the polynomial P(x) is equal to

[18 Mar 2021 Shift 2]

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