MathDB
polynomial with integer roots.

Source: Iranian Third Round 2020 Number Theory exam Problem2

November 21, 2020
number theorypolynomialinteger root

Problem Statement

Find all polynomials PP with integer coefficients such that all the roots of Pn(x)P^n(x) are integers. (here Pn(x)P^n(x) means P(P(...(P(x))...))P(P(...(P(x))...)) where PP is repeated nn times)
Back to ProblemsView on AoPS