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Homework Help: Long hand polynomial division

  1. Aug 28, 2013 #1
    1. Hi I have a question I am stuck on it is:

    (x3 + 2x2y - 2xy2 - y3)/(x-y)

    Can anyone help?

    2. Relevant equations

    3. The attempt at a solution
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
    Last edited: Aug 28, 2013
  2. jcsd
  3. Aug 28, 2013 #2


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    What do you mean by "help"? What help do you need or want? You title this "long hand polynomial division" (I would have said just "polynomial division"- "long hand" makes me think of cursive writing!) so apparently you know what you are supposed to do. How many times does x divide into [itex]x^3[/itex]? What do you do next?
  4. Aug 28, 2013 #3

    Ray Vickson

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    What you have written is not a polynomial; it is a rational function of the form
    [tex] x^3 + 2 x^2 y -2xy^2 - \frac{y^3}{x}-y.[/tex] Did you intend to write
    [tex] \frac{x^3 + 2x^2y-2xy^2-y^3}{x-y} ?[/tex]
    If that is what you meant you should have used parentheses, like this:
    (x3 + 2x2y - 2xy2 - y3)/(x-y).
  5. Aug 28, 2013 #4
    Hi yes that is what I meant sorry .
  6. Aug 28, 2013 #5

    there is more in wikipedia too. Since this is a simple example i think you should check the basics of polynomial division. It's nothing too difficult, it simply requires a little practice.
    Last edited by a moderator: Sep 25, 2014
  7. Aug 28, 2013 #6


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    @chris92 -- check your PMs, and then show your work on your problem here in this thread.
  8. Aug 28, 2013 #7


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    @chris92: Are you required to do long division? There is a much easier way to simplify it.

    Edit: Woops, maybe not. I had a sign wrong...
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