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If f(x) is a non-zero polynomial of degree four, having loca extreme points at `x=-1,0,1` then the set `S={x in R:f(x)=f(0)}` contains exactly

A

four irrational numbers.

B

four rational numbers.

C

two irrational and two rational numbers.

D

two irrational and one rational number.

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The correct Answer is:
D
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