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Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d...

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) lt P(1),` then in the interval `[-1,1]`

A

P(-1) is the minimum and P(1) is the maximum of P

B

P(-1) is not minimum but P (1)is the maximum of P

C

P(-1) is the minimum and P(1) is not the maximum of P

D

neither P(-1) is the minimum nor P(1) is the maximum of P

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The correct Answer is:
B
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