MathDB
Vietnam NMO 2000_6

Source:

October 26, 2008
algebrapolynomialcomplex numbersalgebra unsolved

Problem Statement

Let P(x) P(x) be a nonzero polynomial such that, for all real numbers x x, P(x^2 \minus{} 1) \equal{} P(x)P(\minus{}x). Determine the maximum possible number of real roots of P(x) P(x).
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