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Let P(x) = x^10+ a2x^8 + a3 x^6+ a4 x^4 ...

Let `P(x) = x^10+ a_2x^8 + a_3 x^6+ a_4 x^4 + a_5x^2` be a polynomial with real coefficients. If `P(1)=1 and P(2)=-5`, then the minimum-number of distinct real zeroes of `P(x)` is

A

5

B

6

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
P(x) is an even function.
So, it is symmetrical about y-axis.
`P(-1)=P(1)=1 and P(-2)=P(2)=-5`
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