4.4

1. What was the most difficult part of the reading for you?
Well, I'm not going to lie, I giggled when the author of the book seemed to be speaking right to me. The thing that is worrying me the most about this reading is being able o tell when a polynomial is a polynomial in F[x] or when it is the 'rule of it's induced function' as the book says. I'm sure that context will have to play a big role in this, but I just feel programed to treat polynomials as functions, not as...objects... But, as the book says on page 101: "the practice of using x for both is so widespread you may as well get used to it." So, this is me, getting used to it.

2. The remainder theorem
I have to admit that my mind was blown a little bit by this theorem. I was so shocked that the remainder could be determined so easily and as I read the theorem I thought to myself, "How is this possible?!? I want proof!" And the proof was so simple and easy to follow, I just had to laugh a little and say, "How did you not get that before?" Either way, it seems fun.