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If f(x) is a non-zero polynomial of degr...

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

Two irrational and one rational number

B

Four irrational numbers

C

Four rational numbers

D

Two irrational and two rational numbers

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The correct Answer is:
A
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