Section 4.5-4.6, due on Oct. 1

Some of the hardest parts of this material for me was the section with complex numbers. I feel as though I am less familiar with imaginary properties in general, so it was hard for me to visualize what was going on. Also, I didn't quite understand the proof of Thrm. 4.22. I think I just need to familiarize myself with degrees of polynomials to better follow what they are saying.

The coolest parts of this material were the Eisenstein Criterion that is a way of showing f(x) is irreducible in Q(x). I also liked the Rational Root Test. I remember the first time I learned that concept and I thought it was cool, but had no idea where it was coming from. To see the proof of this test was really interesting for me.