Sections 3.5-3.6 (due Mon Sep 16)

1. the example in 3.23 is a bit confusing. I understand why t^4+2 is irreducible over Z5; but when they go to Z3 suddenly they found a factorization of the polynomial and concluded it reducible. So how do they come up with the factorization in Z3?

2. How is finding the multiplicity of the zeros useful?
in p.45 it points to figure 1.1 when explaining the multiplicity, but I can't find the right figure 1.1