Results 1 to 4 of 4
Like Tree2Thanks
  • 1 Post By emakarov
  • 1 Post By Soroban

Math Help - Polynomial Long Division

  1. #1
    Junior Member
    Joined
    Aug 2013
    From
    Essex
    Posts
    26

    Polynomial Long Division

    Hi. I have been asked to do this polynomial long division. I have got so far with it but am now struggling with the final part. I think that the -x+12x-5 should equal zero. But the (15)/(x-2) part has me confused. Can some body point me in the right direction please. I don't want the answer. Just some help? thanks
    Attached Thumbnails Attached Thumbnails Polynomial Long Division-assignment-1.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,561
    Thanks
    785

    Re: Polynomial Long Division

    At each step, you borrow a single monomial from the dividend. You first write x^2 in the answer space, multiply x^2 by (x - 2) and subtract the result from the first two monomials of the dividend. This leaves -x^2. At this point, you borrow a single monomial: 12x and write -x^2 + 12x instead of -x + 12x - 5. Then you write -x in the answer space, multiply -x by (x - 2) and subtract the result from -x^2 + 12x. Only at this point you borrow the final monomial from the dividend: -5. Then you perform one more step.
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,904
    Thanks
    765

    Re: Polynomial Long Division

    Hello, camorris!

    \text{Show that: }\:\dfrac{x^3-3x^2+12x-5}{x-2} \;=\;(x^2-x+10) + \frac{15}{x-2}

    The division should look like this . . .


    . . \begin{array}{cccccccccc} &&&& x^2 & - & x &+& 10 \\ && -- & -- & -- & -- & -- & -- & -- \\ x-2 & ) & x^3 &-& 3x^2 &+& 12x &-&5 \\ && x^3 &-& 2x^2 \\ && --&--&-- \\ &&& -& x^2 &+& 12x \\ &&&-& x^2 &+& 2x \\ &&& --&--&--&-- \\ &&&&&& 10x &-& 5 \\ &&&&&&10x &-&20 \\ &&&&&& --&--&-- \\ &&&&&&&& 15  \end{array}
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Aug 2013
    From
    Essex
    Posts
    26

    Re: Polynomial Long Division

    Thank you by the way I was nearly there although a couple of errors on my behalf ruined it
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with polynomial long division
    Posted in the Algebra Forum
    Replies: 4
    Last Post: September 28th 2011, 01:03 PM
  2. Polynomial long division.
    Posted in the Algebra Forum
    Replies: 4
    Last Post: June 5th 2011, 12:58 PM
  3. Polynomial Long Division
    Posted in the Algebra Forum
    Replies: 15
    Last Post: October 12th 2010, 01:14 PM
  4. Replies: 2
    Last Post: February 28th 2009, 02:59 PM
  5. Polynomial Long Division
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 26th 2008, 05:07 PM

Search Tags


/mathhelpforum @mathhelpforum