MathDB
p(x)-q(x)=1

Source: CentroAmerican 2013 Problem 6

August 24, 2013
algebrapolynomialalgebra unsolved

Problem Statement

Determine all pairs of non-constant polynomials p(x)p(x) and q(x)q(x), each with leading coefficient 11, degree nn, and nn roots which are non-negative integers, that satisfy p(x)āˆ’q(x)=1p(x)-q(x)=1.