1. The problem statement, all variables and given/known data Let J be the set of all polynomials with zero constant term in Z[x]. (Z=integers) a.) Show that J is the principal ideal (x) in Z[x]. b.) Show that Z[x]/J consists of an infinite number of distinct cosets, one for each n[tex]\in[/tex]Z. 2. Relevant equations 3. The attempt at a solution I have trouble understanding what a principal ideal is. Any help on how I should start would be great. Thanks!