Difficult:
I think the hardest thing for me to remember is that the greatest common divisor is monic, or the leading coefficient is 1. I was confused about how you can just multiply by the multiplicative inverse of the leading coefficient to get it to be monic. I wouldn't think of doing that and I feel like that means anything can be a greatest common divisor by multiplying by the inverse of the leading coefficient.
Connections:
I really liked this section. I really like factoring, and I feel like that is what division of polynomials is. I have been factoring polynomials since I can remember in algebra, so it will be good to be able to see how that will apply in abstract algebra as well. I also like finding the GCD, so I am excited to try to find the GCD of polynomials by factoring and finding the highest common term.
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