MathDB

Iterated polynomial ratio is x^{28}

Source: Austrian-Polish 2005, Problem 2

July 5, 2015

algebrapolynomialratio

Problem Statement

Determine all polynomials

P

with integer coefficients satisfying

P(P(P(P(P(x)))))=x^{28}\cdot P(P(x))\qquad \forall x\in\mathbb{R}