Hi, I'm trying to show whether the polynomial(adsbygoogle = window.adsbygoogle || []).push({});

[tex]g(x) = x^8+ x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 [/tex]

is irreducible or not.

So far I have evaluated [itex] g(x+1) [/itex] and applied Eisenstein's theorem to it. From what I gather it doesn't appear to be irreducible. Is this right, because I reckon it should be irreducible? This may just be a simple calculation error.

And if g(x) is reducible, how do I go about reducing the polynomial more?

Thanks

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# Irreducible polynomial

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