MathDB
Polynomial

Source: Tuymaada 2015, Day 1, Problem 3, Senior League

July 10, 2017
algebrapolynomial

Problem Statement

P(x,y)P(x,y) is polynomial with real coefficients and P(x+2y,x+y)=P(x,y)P(x+2y,x+y)=P(x,y). Prove that exists polynomial Q(t)Q(t) such that P(x,y)=Q((x2āˆ’2y2)2)P(x,y)=Q((x^2-2y^2)^2)
A. Golovanov
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