Exercise
Consider the factorization of
X27 - X 
Z/3Z[X].
How many irreducible factors of degree 3 does it have?
8
7
6
Right!
No. After division by the linear factors,
a polynomial of degree 24 results. What are the degrees of the its irreducible factors?
No. After division by the linear factors,
a polynomial of degree 24 results.
What are the degrees of its irreducible factors?