polynomials P,Q,R are equal.
Source: Polish MO Round 3 2009,problem 3
November 3, 2009
algebrapolynomialalgebra unsolved
Problem Statement
Let be polynomials of degree at least with integer coefficients such that for any real number holds: P(Q(x))\equal{}Q(R(x))\equal{}R(P(x)). Show that the polynomials are equal.