MathDB
Q(x) = P(x) +12, integer polynomials

Source: Austrian Polish 1988 APMC

April 30, 2020
Integer PolynomialpolynomialIntegersalgebra

Problem Statement

Let P(x)P(x) be a polynomial with integer coefficients. Show that if Q(x)=P(x)+12Q(x) = P(x) +12 has at least six distinct integer roots, then P(x)P(x) has no integer roots.
Back to ProblemsView on AoPS