Results 1 to 3 of 3

Math Help - polynomial division

  1. #1
    Member Jones's Avatar
    Joined
    Apr 2006
    From
    Norway
    Posts
    170

    polynomial division

    Hi,

    Im trying to get my head around how to do polynomial division with undetermined coefficients.

    Im trying to divide z^2-2z+2
    into z^4-2z^3+az-8z+8

    I run into problems when trying to subtract 2z^2 from az^2

    help appreciated
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123
    Quote Originally Posted by Jones View Post
    Hi,

    Im trying to get my head around how to do polynomial division with undetermined coefficients.

    Im trying to divide z^2-2z+2
    into z^4-2z^3+az-8z+8

    I run into problems when trying to subtract 2z^2 from az^2

    help appreciated
    According to your explanations I assume that the quotient reads:

    (z^4-2z^3+az^{\bold{\color{red}2}}-8z+8) \div (z^1-2z+2)

    Use long division:
    Code:
                                                   (z-1)(2a-12)
      z^4-2z^3+az^2-8z+8)(z^1-2z+2) = z^2+(a-2) + -----------
                                                    z^2-2z+2
    -(z^4-2z^3+2z^2)
    ------------------
              (a-2)z^2-8z+8
            -((a-2)z^2-2(a-2)z+2(a-2)
            --------------------------
                       -12z+2az-2a+12
    The remainder can be factored as shown in the final result.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,306
    Thanks
    1282
    And, specifically, subtracting 2z^2 from az^2 gives az^2- 2z^2= (a- 2)z^2
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Polynomial division vs synthetic division
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 9th 2009, 05:49 AM
  2. polynomial division
    Posted in the Algebra Forum
    Replies: 4
    Last Post: December 11th 2008, 10:56 AM
  3. polynomial division
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 10th 2008, 02:16 PM
  4. Polynomial Division
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 27th 2008, 08:20 AM
  5. Polynomial Division
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: August 26th 2008, 08:52 PM

Search Tags


/mathhelpforum @mathhelpforum