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Polynomial equation!

Source: Romania TST 2013 Day 4 Problem 3

January 21, 2015
algebrapolynomialalgebra unsolved

Problem Statement

Given an integer n≥2n\geq 2, determine all non-constant polynomials ff with complex coefficients satisfying the condition 1+f(Xn+1)=f(X)n.1+f(X^n+1)=f(X)^n.
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