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f(x)=(x^2+x)^{2^n}+1 is irreducible

Source: Romanian TST 1998

April 23, 2011
algebrapolynomialIrreducible

Problem Statement

Show that for any positive integer nn the polynomial f(x)=(x2+x)2n+1f(x)=(x^2+x)^{2^n}+1 cannot be decomposed into the product of two integer non-constant polynomials.
Marius Cavachi
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