MathDB

2

Part of 2005 Austrian-Polish Competition

Problems(1)

Iterated polynomial ratio is x^{28}

Source: Austrian-Polish 2005, Problem 2

7/5/2015
Determine all polynomials PP with integer coefficients satisfying P(P(P(P(P(x)))))=x28⋅P(P(x))∀x∈RP(P(P(P(P(x)))))=x^{28}\cdot P(P(x))\qquad \forall x\in\mathbb{R}
algebrapolynomialratio