Section 4.2-4.3, due on September 27

The most difficult part of these sections for me was remembering all of the implications of Theorem 4.2. It doesn't seem like that hard of a thing, but I had trouble remembering when a degree of a particular polynomial is less than or equal to another. In section 4.3 the hardest thing was figuring out and applying the definition of irreducible and associat element. This were use often in proofs and these concepts are still a little fuzzy for me. I had an especially hard time following the proof of Theorem 4.11.

The part of this material that I found to be most interesting was the fact that a nonzero polynomial may have infinitely many divisors where, in contrast, a nonzero integer has only a finite number of divisors. I also thought is was interesting that in an integral domain, a unit is a constant polynomial yet in a field a unit must be a nonzero constant polynomial. The conditions that apply to fields are a little more strict, which I thought was interesting.