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Two variable polynomial

Source: Iranian third round algebra 2015 p3

September 8, 2015
algebrapolynomialfunction

Problem Statement

Does there exist an irreducible two variable polynomial f(x,y)∈Q[x,y]f(x,y)\in \mathbb{Q}[x,y] such that it has only four roots (0,1),(1,0),(0,−1),(−1,0)(0,1),(1,0),(0,-1),(-1,0) on the unit circle.
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