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Find the number of irreducible polynomials of degree 4 in $\boldsymbol{Z}_3[x]$.

Not really sure what to do here, I've tried listing them all out but this seems tedious, and all I need to find is the number of irreducible polynomials, not their values. Is there perhaps a general formula for this?


marked as duplicate by Lord Shark the Unknown, Chinnapparaj R, Community Nov 30 '18 at 5:16

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  • $\begingroup$ How many irreducible polynomials did you find of degrees $2$, $3$, and $4$? $\endgroup$ – bof Nov 30 '18 at 5:02

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