4.2 & 4.3, due February 2nd

1. For section 4.2, on part that I wasn't sure about was the bold sentence underneath the first example on page 90, where it talked about if f(x) divides g(x), then cf(x) also divides g(x) for each nonzero c contained in f. I was just wondering what c is. Is it any just any integer multiplied by f(x) like a coefficient, or does if have it have to be in f(x)? That was just a little confusing to me.
For section 4.3, at first I wasn't getting what they meant exactly by irreducible until I looked at the asterisk at the bottom of page 95, and then I realized that it's just another name for "prime," but that when using polynomials, we say irreducible, so that made a lot more sense. I think I just need to see some more examples to really understand everything in these 2 sections.
2. In section 4.2, I like how we are talking about the gcd again, except this time we're using functions, hopefully I will be able to understand it a little better since we've worked with the gcd before, same with the definition of relatively prime.
In section 4.2, I also like how we've dealt with things like this before, but now we're just using functions, I think I just need to see a few examples to understand these things better.