Given P(x) = x^4 + ax^3 + bx^2 + cx + d such that x = 0 is the only real root of P'(x) = 0. If P(-1) < P(1), then in the interval [-1, 1]

JEE Main 2009 Mathematics question

Given such that is the only real root of . If , then in the interval

Answer: (2)

has only the real root 0, so P decreases on and increases on :

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Question ID VK-039191