1.
All the proof were straightforward and/or cop-outs from previous chapters.
2.
In the first example they kind of used the trick we learned in class but they didn't explain it very well, tsk tsk. It is interesting that F[x]/(p(x)) contains a root of p(x). The discussion of how R[x]/(x^2+1) is isomorphic to (or a definition of ) the complex numbers was very interesting.
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