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This question already has an answer here:

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?

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

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