5.2, due February 16th

• Difficult: In theorem 5.7 it ends by saying "Furthermore, F[x]/(p(x)) contains a subring F* that is isomorphic to F." This doesn't make sense to me. It's just so vague. Why does it contain a subring? What's in this subring? Why does that subring have to be isomorphic? This theorem just doesn't make sense.
• Reflective: I feel like we're learning the same thing over and over again just with little twists. You'd think that that would make things easier. And I guess in some degree it does. But I do kind of feel that there's a lot of "duh" stuff that the book explains, but then it doesn't explain some of the harder stuff. I know this seems like it should be more under the "difficult" bullet, but this is what I was "reflecting" on while reading this section.