Let p(x) be a polynomial of degree 4 having extremum at x = 1, 2 and _ x 0 (1 + p(x) x^2 ) = 2. Then the value of p(2) is

JEE Advanced 2009 Mathematics question

Let p(x) be a polynomial of degree 4 having extremum at x = 1, 2 and

(1 + ) = 2.

Then the value of p(2) is

Answer: 0

The limit condition gives , so p has no constant or linear term and the coefficient of is 1: . 4ax^3$ +

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Question ID VK-037764