I am still struggling with the idea of irreducibility. The homework due today asked us to list some irreducible polynomials. The answers were in the back of the book, but I still didn't understand exactly why it was irreducible. The Theorem 4.18 helps me to understand a little bit better of how to determine which polynomials are irreducible.
Reflective:
I find the remainder theorem to be really cool :) I hadn't realized that if we take the divisor of the form (x-a) then the remainder will be f(a). I'm wondering now, can we always get a divisor of that form? What happens when we don't?
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