Results 1 to 3 of 3

Math Help - Quick question about C[x]

  1. #1
    Newbie
    Joined
    Aug 2010
    Posts
    24

    Quick question about C[x]

    Can we find irreducible polynomials in C[x] , C is the field of complex numbers,
    other than f(x)= ax ? I wonder .

    C is algebraically closed, so any polynomial has roots in C and hence can
    be reduced to factors of lower degrees, except f(x)=x or in general f(x)=ax for
    any constant a in C.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    May 2008
    Posts
    2,295
    Thanks
    7
    you're almost right. f(x)=ax+b with a,b \in \mathbb{C}, \ a \neq 0, are all irreducible elements of \mathbb{C}[x].
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2010
    Posts
    24
    Thank you again!
    BTW: I have some other questions posted here without any responses. I do really appreciate if you can help in one or more of them.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Quick question
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 24th 2010, 05:51 AM
  2. Just a quick question...
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 23rd 2008, 02:03 PM
  3. Quick Question
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 27th 2008, 02:43 PM
  4. quick question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 22nd 2007, 11:33 AM
  5. Quick's quick question
    Posted in the Number Theory Forum
    Replies: 22
    Last Post: July 9th 2006, 04:38 PM

Search Tags


/mathhelpforum @mathhelpforum