# Find all the monic irreducible polynomials

1. Nov 4, 2008

### xianghu21

1. The problem statement, all variables and given/known data

Find all the monic irreducible polynomials of degree $$\leq 3$$ in $$\mathbb{F}_2[x]$$, and the same in $$\mathbb{F}_3[x]$$.

2. Relevant equations
n/a

3. The attempt at a solution
n/a

Last edited: Nov 4, 2008
2. Nov 5, 2008

### morphism

What can you say about the irreducible factors of $x^{p^n} - x \in \mathbb{F}_p[x]$?