13. Find all monic irreducible polynomials of degree 3 over . The problem before this contains a hint that says to derive a way to tell "at a glance" whether or not a polynomial has a root. I'm just not seeing it, any suggestions would be appreciated. This problem comes from section 4.2 ofAbstract Algebra: Third Editionby John A. Beachy and William D. Blair for those that are interested.

Oh and also, the denotes the set of integers mod n, in case you are not familiar with that notation.