Number of irreducible polynomials of degree 4 on $\boldsymbol{Z}_3[x]$.

Asked Nov 30 '18 at 04:51

Active Nov 30 '18 at 04:56

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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?

edited Nov 30 '18 at 04:56

Chinnapparaj R

11,589

asked Nov 30 '18 at 04:51

You Zhou

How many irreducible polynomials did you find of degrees $2$, $3$, and $4$? – bof Nov 30 '18 at 05:02

Number of irreducible polynomials of degree 4 on $\boldsymbol{Z}_3[x]$.

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