I think I am still struggling with what a 'field' is in context of the book, so I get a bit confused when it talked about fields in regards to some of the theorems in this section. I'm also having trouble understanding the GCD in regards to a function. The theorem made sense to me right up until they gave the example of the GCD of 3x^2+x+6 and O. I don't really understand why they multiplied it by 1/3.
Reflective:
As the book mentioned, most of the results from divisibility and greatest common divisor are almost the same as they were for regular arithmetic. The necessary modifications to apply the theorems to F[x] were intuitive, for the most part.
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