MathDB
Functional equation with real polynomials

Source: Canada Repêchage 2021/1 CMOQR

March 30, 2021
CanadaFunctional EquationsPolynomialsalgebrapolynomial

Problem Statement

Determine all real polynomials pp such that p(x+p(x))=x2p(x)p(x+p(x))=x^2p(x) for all xx.
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