Results 1 to 2 of 2

Math Help - Cubic Polynomial and Linear Factors

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    1

    Cubic Polynomial and Linear Factors

    True or False:

    Every polynomial x^3 + ax^2 + bx + c with integer coefficients is a product of 3 linear factors in some Z [p].

    I believe it's true, but I don't know how to prove how.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by EyeheartWaigner View Post
    True or False:

    Every polynomial x^3 + ax^2 + bx + c with integer coefficients is a product of 3 linear factors in some Z [p].

    I believe it's true, but I don't know how to prove how.

    Read lemma 1.1 here: http://www.hytc.edu.cn/xsjl/szh/szh21.pdf , and then check the references.

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Multiplying imaginary factors of a polynomial
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 20th 2010, 07:13 AM
  2. Quadratic factors of a cubic polynomial
    Posted in the Pre-Calculus Forum
    Replies: 8
    Last Post: December 10th 2009, 12:01 PM
  3. factors of a polynomial
    Posted in the Algebra Forum
    Replies: 4
    Last Post: January 15th 2009, 06:34 AM
  4. Replies: 2
    Last Post: July 29th 2008, 12:38 AM
  5. Linear factors of polynomial
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 17th 2008, 11:03 PM

Search Tags


/mathhelpforum @mathhelpforum