1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Find all the monic irreducible polynomials

  1. Nov 4, 2008 #1
    1. The problem statement, all variables and given/known data

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

    2. Relevant equations

    3. The attempt at a solution
    Last edited: Nov 4, 2008
  2. jcsd
  3. Nov 5, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    What can you say about the irreducible factors of [itex]x^{p^n} - x \in \mathbb{F}_p[x][/itex]?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook