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Polynomial Functional Equation $P(x^2)=P(x)P(x+1)$

Posted: Thu Aug 26, 2021 8:17 pm
by Anindya Biswas
Find all polynomials $P(x)$ with real coefficients such that, \[P(x^2)=P(x)P(x+1)\] for all real $x$.

Re: Polynomial Functional Equation $P(x^2)=P(x)P(x+1)$

Posted: Mon Sep 20, 2021 1:35 pm
by 103568
$P(x)=x(x-1)^R$