1. What I struggled with most was the proof of Theorem 4.4 - the existence of polynomials q(x) and r(x). It seems crazy that you can prove something like that with induction! Hopefully we go through it again in class so I can understand it better.
2. I thought this section was so cool! I love working with polynomials - factoring, multiplying, dividing, adding, etc. It seems like all the rules are familiar to what I have learned in the past, only now they are specifically denoted by certain things. Such examples include deg f(x), and R[x].
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