MathDB
Polynomial equation with specific numbers

Source: OMEC Ecuador National Olympiad Final Round 2020 N3 P4 day 2

November 10, 2024
polynomialalgebra

Problem Statement

Find all polynomials P(x)P(x) such that, for all real numbers x,y,zx, y, z that satisfy x+y+z=0x+ y +z =0, P(x)+P(y)+P(z)=0P(x) +P(y) +P(z)=0
Back to ProblemsView on AoPS