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Minimum degree in 2 variables

Source: Malaysian IMO TST 2022 P4

May 13, 2022
algebra

Problem Statement

Given a positive integer nn, suppose that P(x,y)P(x,y) is a real polynomial such that P(x,y)=11+x+yfor all x,y∈{0,1,2,…,n}P(x,y)=\frac{1}{1+x+y} \hspace{0.5cm} \text{for all $x,y\in\{0,1,2,\dots,n\}$} What is the minimum degree of PP?
Proposed by Loke Zhi Kin
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