Polynomial Functional Equation
Source: 2017 Taiwan TST Round 1, Day 3, Problem 1. Proposed by CSJL
April 14, 2017
algebrapolynomialFunctional Equationsfunctional equation
Problem Statement
Find all polynomials with real coefficients which satisfy
P(x)P(x+1)=P(x^2-x+3) \forall x \in \mathbb{R}