MathDB
One one polynomials

Source: INMO 1999 Problem 3

October 7, 2005
algebrapolynomialcalculusintegrationquadraticsnumber theoryalgebra unsolved

Problem Statement

Show that there do not exist polynomials p(x)p(x) and q(x)q(x) each having integer coefficients and of degree greater than or equal to 1 such that p(x)q(x)=x5+2x+1. p(x)q(x) = x^5 +2x +1 .