MathDB
irreducible: (x^2+x)^(2^n)+1

Source: Mongolian MO 2002 Teachers P2

April 9, 2021
polynomialalgebrairreducibility

Problem Statement

Prove that for each nāˆˆNn\in\mathbb N the polynomial (x2+x)2n+1(x^2+x)^{2^n}+1 is irreducible over the polynomials with integer coefficients.
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