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Let P(x) = a(0) + a(1)x^(2) + a(2)x^(4)+...

Let `P(x) = a_(0) + a_(1)x^(2) + a_(2)x^(4)+...+a_(n)x^(2n)` be a polynomial in a real variable x with `0 lt a_(0) lt a_(1) lt a_(2) lt ... lt a_(n)`. The function P(x) has

A

a) neither a maximum nor a minimum

B

b) only one maximum

C

c) only one minimum

D

d) only one maximum and only one minimum

Text Solution

Verified by Experts

The correct Answer is:
C
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