4.3, due February 4th

1. Difficult: I understood that if something is irreductable that means that it is basically a "prime" polynomial, but some things in the definition confused me. What does it mean that its divisors are its "associates"? I read the definition of associate, but I didn't get it. Also, even though something is irreductable, can it still be divided by a constant term? Because the definition said "its only divisors are its associates and the nonzero constant polynomials." But that doesn't sound very prime-ish to me.
2. Reflective: I love how closely related these polynomials are to the "normal" rings we've been studying. I've found it very interesting to extend the idea of a ring to a new form. And I'm glad things haven't changed too much because I really feel like I'm building up my knowledge rather than having a bunch of new concept trying to take up space in my brain.