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How do I show there are irreducible polynomials of any degree in $\mathbb{Z}_p[x]$, with $p$ prime?

I tried counting the number of reducible polynomials of any degree but that turned out to be hard... Any help?


marked as duplicate by egreg, Ken, Michael Galuza, Cameron Buie, Jyrki Lahtonen Aug 28 '15 at 6:52

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