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Math Help - Clasic iredducible polynomial

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    Clasic iredducible polynomial

    Prove that f(x)=x^{p-1}+...+X+1 is an irreducible polynomial over Z[X]
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    MHF Contributor Bruno J.'s Avatar
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    Re: Clasic iredducible polynomial

    Hint: prove that F(x)=f(x+1) is irreducible by using the formula for a truncated geometric series, and looking at the coefficients. Use the Eisenstein criterion.
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