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Functional equation with polynomials

Source: SAMO Senior Round 3 2013 Problem 4

September 17, 2013
algebrapolynomialalgebra unsolved

Problem Statement

Determine all pairs of polynomials ff and gg with real coefficients such that x2ā‹…g(x)=f(g(x)). x^2 \cdot g(x) = f(g(x)).
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