MathDB
Polynomial with integer coefficients

Source:

December 31, 2011
algebrapolynomialalgebra unsolved

Problem Statement

Let P(x)P (x) be a polynomial with integer coefficients. Given that for some integer aa and some positive integer nn, where P(P(…P⏟n times(a)…))=a,\underbrace{P(P(\ldots P}_{\text{n times}}(a)\ldots)) = a, is it true that P(P(a))=aP (P (a)) = a?
Back to ProblemsView on AoPS