Section 5.2 due 10/6

I don't understand it Theorem 5.7 when it talks about F* being an isomorphic subring of F[x]/(p(x)). How is F* different from F?

This is pretty straight forward because a lot of theorems about rings are now applied to polynomials, like the rules of modular arithmetic. However, there are some new theorems that, to me, don't seem as obvious as others, but will probably be helpful in proofs.