Results 1 to 3 of 3

Math Help - monic polynomials

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    83

    monic polynomials

    Can somebody give me hints on these question please?

    (i) List all the monic polynomials over
    F2 of degree =<3.
    (ii) Determine which of these polynomials are irreducible over
    F2.

    (iii) Factorize the reducible polynomials into irreducible polynomials.


    Thanks alot
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,
    Quote Originally Posted by knguyen2005 View Post
    Can somebody give me hints on these question please?

    (i) List all the monic polynomials over F2 of degree =<3.
    (ii) Determine which of these polynomials are irreducible over F2.
    (iii) Factorize the reducible polynomials into irreducible polynomials.


    Thanks alot
    i) In F_2 the possible coefficients are 0 and 1.
    ii) list them first, then try to see if they can be factored...
    iii) ... if they can, factor them.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by Moo View Post
    ii) list them first, then try to see if they can be factored...
    I want to add something to Moo, angle.

    Those polynomials are factorable if and only if they have zeros.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding monic irreducible polynomials.
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 13th 2011, 11:32 AM
  2. Monic Polynomials
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: February 8th 2010, 05:01 AM
  3. Irreducible Monic Polynomials
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: November 30th 2009, 08:07 PM
  4. monic polynomials
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: April 29th 2009, 05:26 PM
  5. Monic Polynomials
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: March 12th 2009, 07:03 PM

Search Tags


/mathhelpforum @mathhelpforum