Results 1 to 4 of 4

Math Help - Factorization problem

  1. #1
    Newbie
    Joined
    Nov 2011
    Posts
    6

    Factorization problem

    I have a problem factorizing that equation 2x^3-5x^2-6x+8 until now I've found the root x=2 and x=-4/3 and I'm stuck there

    Thanks for the help
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,404
    Thanks
    1293

    Re: Factorization problem

    Quote Originally Posted by sebastien View Post
    I have a problem factorizing that equation 2x^3-5x^2-6x+8 until now I've found the root x=2 and x=-4/3 and I'm stuck there

    Thanks for the help
    It doesn't factorise... And what you have listed are not roots.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2011
    Posts
    6

    Re: Factorization problem

    made a mistake my equation is 3x^3-5x^2-6x+8 and not the other one
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,404
    Thanks
    1293

    Re: Factorization problem

    Quote Originally Posted by sebastien View Post
    made a mistake my equation is 3x^3-5x^2-6x+8 and not the other one
    Well, like you have found, x = 2 is a root, which means (x - 2) is a factor.

    Long dividing gives

    \displaystyle \begin{align*} (x - 2)(3x^2 + x - 4) \end{align*}

    and factorising the resulting quadratic gives

    \displaystyle \begin{align*} (x - 2)(3x^2 + x - 4) &= (x - 2)(3x^2 - 3x + 4x - 4) \\ &= (x - 2)[3x(x - 1) + 4(x - 1)] \\ &= (x - 1)(x - 2)(3x +4) \end{align*}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] factorization problem
    Posted in the Algebra Forum
    Replies: 3
    Last Post: August 12th 2011, 11:47 PM
  2. Factorization problem
    Posted in the Algebra Forum
    Replies: 9
    Last Post: April 21st 2011, 01:24 AM
  3. Replies: 2
    Last Post: March 4th 2010, 01:49 AM
  4. Factorization Problem!
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: November 1st 2009, 11:55 AM
  5. Factorization problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: August 19th 2009, 04:23 AM

/mathhelpforum @mathhelpforum