Degree of polynomial P(x,x)
Source: Tournament of towns
November 30, 2019
algebrapolynomialtwo variables
Problem Statement
The polynomial P(x,y) is such that for every integer n >= 0 each of the polynomials P(x,n) and P(n,y) either is a constant zero or has a degree not greater than n. Is it possible that P(x,x) has an odd degree?