5.1, due February 14

This section was rather straight forward since it was so similar to the sections on modular arithmetic.  It's almost as if they go together like peanut butter and jelly.  On the last page of this section, they gave an example of a polynomial in R[x] that had an infinite number of congruence classes and then they gave an example of a congruence in Z_n[x] that had n^k distinct congruence classes.  This got me to thinking, "Is there only a finite number of congruence classes in Z_n or are there other cases that have this distinciton?"