Results 1 to 2 of 2

Math Help - Find all monic irreducible polynomicals

  1. #1
    Junior Member
    Joined
    Apr 2010
    Posts
    58

    Find all monic irreducible polynomicals

    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.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45
    Hint :

    All polynomals of degree 1 are irreducible. On the other hand, a polynomial p(x)\in \mathbb{Z}_3[x] of degree 2 or 3 is reducible iff p(x) has a root in \mathbb{Z}_3 .


    Fernando Revilla
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: April 10th 2011, 10:41 AM
  2. Finding monic irreducible polynomials.
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 13th 2011, 10:32 AM
  3. Replies: 2
    Last Post: September 10th 2010, 08:05 AM
  4. Irreducible Monic Polynomials
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: November 30th 2009, 07:07 PM
  5. number of monic irreducible polyynomials
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: May 25th 2009, 11:41 AM

Search Tags


/mathhelpforum @mathhelpforum