good one :polynomials

Let P(x) be a nonzero polynomial such that, for all real numbers x, P(x^2 - 1) = P(x)P(-x). Determine the maximum possible number of real roots of P(x).

2 Answers

39
Dr.House ·

not numbers, i need the proof.

9
Celestine preetham ·

4 ? and are they ± (1 ± √5) /2

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