Difficult:
I thought one of the most difficult parts of this section was the division algorithm in F[x]. I understood how it works, but I thought the proof was very difficult to follow. I think I got lost in all of the coefficients and exponents. But I thought it was very cool that the division algorithm also works for fields and polynomials. I also got confused about what x was supposed to represent in our polynomials. It talked about how x is not a number that we are trying to solve for, but that it is a specific element of P. I just don't understand what x is.
Connections:
I like that we are working with polynomials now. I understand how to do mathematics on polynomials since I have been dealing with them pretty much since 7th grade. I hope that my background with polynomials will make it easier for me to understand the new applications in this class. I am comfortable adding, multiplying, and dividing polynomials, so I am happy that there is something I am familiar with as I learn some new things that I am just seeing for the first time.
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