Results 1 to 5 of 5

Math Help - systematic procedure for factoring third degree polynomials???

  1. #1
    Member sluggerbroth's Avatar
    Joined
    Apr 2012
    From
    Chicago
    Posts
    108

    systematic procedure for factoring third degree polynomials???

    Can anyone offer a systematic procedure for factoring third degree polynomials???
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,793
    Thanks
    1688
    Awards
    1

    Re: systematic procedure for factoring third degree polynomials???

    Quote Originally Posted by sluggerbroth View Post
    Can anyone offer a systematic procedure for factoring third degree polynomials???
    A third degree polynomial with real coefficients has at one real root.
    If you find that root, say r, then (x-r) is factor.
    Thus you can reduce the polynomial to a second degree polynomial.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member sluggerbroth's Avatar
    Joined
    Apr 2012
    From
    Chicago
    Posts
    108

    Re: systematic procedure for factoring third degree polynomials???

    more details please.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,880
    Thanks
    668

    Re: systematic procedure for factoring third degree polynomials???

    Quote Originally Posted by sluggerbroth View Post
    more details please.
    How to Factor a Cubic Polynomial: 6 steps - wikiHow[
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,982
    Thanks
    1645

    Re: systematic procedure for factoring third degree polynomials???

    Typically, by "factor a polynomial" one means "write as factors with integer coefficients", possibly with a fraction multiplying all factors. While a cubic polynomial must have at least one real zero, it does not necessarily have any rational roots and, if not, cannot be factored with integer coefficients.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. P_{n} set of all polynomials of degree n
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: June 14th 2011, 12:44 AM
  2. Replies: 7
    Last Post: April 7th 2011, 12:38 PM
  3. Replies: 4
    Last Post: April 7th 2011, 10:08 AM
  4. factoring 4th degree polynomials
    Posted in the Algebra Forum
    Replies: 6
    Last Post: February 8th 2011, 11:32 AM
  5. Factoring 3rd degree polynomials
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: December 6th 2010, 12:24 PM

Search Tags


/mathhelpforum @mathhelpforum