My question is the following:

Find all monic irreducible polynomials of degree <= 3 overZ3. Then, using the list write (x^2 - 2x + 1) as a product of irreducible polynomials.

Any help would be greatly appreciated. Thanks in advance.

Printable View

- Feb 8th 2011, 08:30 AMpage929Find all monic irreducible polynomicals
My question is the following:

Find all monic irreducible polynomials of degree <= 3 over**Z**3. Then, using the list write (x^2 - 2x + 1) as a product of irreducible polynomials.

Any help would be greatly appreciated. Thanks in advance. - Feb 8th 2011, 10:06 AMFernandoRevilla
:__Hint__

All polynomals of degree are irreducible. On the other hand, a polynomial of degree or is reducible iff has a root in .

Fernando Revilla