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JEE Math Practice Question

If ƒ(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 : ƒ(x) = ƒ(0)} Contains exactly :

  1. A.four rational numbers.
  2. B.four irrational numbers.
  3. C.two irrational and one rational number.
  4. D.two irrational and two rational numbes.

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