5.3, due February 18

This section was...complex. No pun intended.  I didn't really understand why if p(x) was irreducible, then it had a root. Or was it saying tht there was a root in the set of residue classes? That part went over my head.  I was able to follow the first part fairly well because I had the example to follow, but by the time we got to the last page I was confused.  I understand how x^2 + 1 has roots in the comlex numbers, but thee way I was interpreting this section, it sounded like the author was saying that it has roots in the real numbers as well.  I don't think I understand how that works.