MathDB

Nice polynomial equation

Source: Romanian TST 2001

January 16, 2011

algebrapolynomialnumber theoryrelatively primealgebra proposed

Problem Statement

Find all polynomials with real coefficients

P

such that

P(x)P(2x^2-1)=P(x^2)P(2x-1)

for every

x\in\mathbb{R}