Home > Olympiad > IMC 2012 Problem 5

IMC 2012 Problem 5


Let {a} be a rational number and let {n} be a positive integer. Prove that the polynomial {X^{2^n}(X+a)^{2^n}+1} is irreducible in the ring {\Bbb{Q}[X]} of polynomials with rational coefficients.

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