1. I think the most difficult part for me to grasp in this section was the notation F[x]/(p(x)). I keep wanting to think that / sign means divide, but really it means the set of all congruence classes modulo p(x). I guess it is something I'll have to get used to.
2. It is crazy to me that you can have modulo polynomials - I guess I don't quite understand how that is possible, but I still think it is cool. Not only can you have modulo integers, but polynomials as well!
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