MathDB
Miklós Schweitzer 1957- Problem 9

Source:

October 18, 2015
algebrapolynomialcollege contests

Problem Statement

9. Find all pairs of linear polynomials f(x)f(x), g(x)g(x) with integer coefficients for which there exist two polynomials u(x)u(x), v(x)v(x) with integer coefficients such that f(x)u(x)+g(x)v(x)=1f(x)u(x)+g(x)v(x)=1. (A. 8)