MathDB
x^{2m}P(x,y)+y^{2m}Q(x,y) = (x+y)^{2m}R(x,y)

Source: Polish MO Finals 1978 p3

August 24, 2024
algebrapolynomial

Problem Statement

Prove that if mm is a natural number and P,Q,RP,Q,R polynomials of degrees less than mm satisfying x2mP(x,y)+y2mQ(x,y)=(x+y)2mR(x,y),x^{2m}P(x,y)+y^{2m}Q(x,y) = (x+y)^{2m}R(x,y), then each of the polynomials is zero.
Back to ProblemsView on AoPS