question_answer

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\[0<{{a}_{0}}<{{a}_{1}}<{{a}_{2}}<.......<{{a}_{n}}\]. The function P(x) has:

A)  Neither a maximum nor a minimum

B)  Only one maximum

C)  Only one minimum

D)  Only one maximum and only one minimum.

E)  None of these