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

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

Unread post by Anindya Biswas » Thu Aug 26, 2021 8:17 pm

Find all polynomials $P(x)$ with real coefficients such that, \[P(x^2)=P(x)P(x+1)\] for all real $x$.
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103568
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Re: Polynomial Functional Equation $P(x^2)=P(x)P(x+1)$

Unread post by 103568 » Mon Sep 20, 2021 1:35 pm

$P(x)=x(x-1)^R$

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