If P(x) = a_0 + a_1x^2 + a_2x^4 + … + a_nx^2n is a polynomial in a real variable x with 0 < a_0 < a_1 < a_2 < … < a_n. Then, the function P(x) has

neither a maximum nor a minimum

only one maximum and only one minimum

If P(x) = a_0 + a_1x^2 + a_2x^4 + … + a_nx^2n is a… — JEE Main 1986 Mathematics PYQ

1986

P(x) = a_0 + a_1x^2 + a_2x^4 + \ldots + a_nx^{2n}

is a polynomial in a real variable

x

with

0 < a_0 < a_1 < a_2 < \ldots < a_n

. Then, the function

P(x)

has

Show answer

Correct option: C

[1986]

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