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Easy Polynomial

Source: 48th Austrian Mathematical Olympiad P1

May 2, 2018
polynomialalgebra

Problem Statement

Determine all polynomials P(x)āˆˆR[x]P(x) \in \mathbb R[x] satisfying the following two conditions : (a) P(2017)=2016P(2017) = 2016 and (b) (P(x)+1)2=P(x2+1)(P(x) + 1)^2 = P(x^2 + 1) for all real numbers xx. proposed by Walther Janous
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