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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 local extreme points at `x=-1,0,1` then the set `S={x in R:f(x)=f(0)}` contains exactly (a) four rational numbers (b) two irrational and two rational numbers (c) four irrational numbers (d) two irrational and one rational number

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