All polynomals of degree are irreducible. On the other hand, a polynomial of degree or is reducible iff has a root in .
My question is the following:
Find all monic irreducible polynomials of degree <= 3 over Z3. Then, using the list write (x^2 - 2x + 1) as a product of irreducible polynomials.
Any help would be greatly appreciated. Thanks in advance.