MathDB
Tri-divisible polynomial

Source: Canada Repêchage 2015/2

June 18, 2016
polynomialalgebranumber theory

Problem Statement

A polynomial f(x)f(x) with integer coefficients is said to be tri-divisible if 33 divides f(k)f(k) for any integer kk. Determine necessary and sufficient conditions for a polynomial to be tri-divisible.