integer polynomials, p(x)q(x) - 2015 has at least 33 different integer roots
Source: Irmo 2015 p2 q9
September 16, 2018
algebrapolynomialinteger rootInteger Polynomial
Problem Statement
Let and be non-constant polynomial functions with integer coeffcients. It is known that the polynomial has at least different integer roots. Prove that neither nor can be a polynomial of degree less than three.