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Synthetic division (small part of a bigger problem)

  1. Sep 16, 2008 #1
    (x^3-2)/(x^2+11x+24) can't seem to simplify this I get x+(-11x^2-24x-2)/(x^2+11x+24) that doesn't seem right.
     
  2. jcsd
  3. Sep 16, 2008 #2

    Dick

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    It's right but why do you still have a quadratic term in the numerator and denominator of the remainder? That's not really a proper remainder, is it? Don't you want x-11+remainder?
     
  4. Sep 16, 2008 #3
    I've thought about doing synthetic division again with the remainder... would that be right. If I did I would get -11 that would cross out with my +11 and add a remainder.
     
  5. Sep 16, 2008 #4

    Dick

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    "Cross out with +11"? What +11? Yes, the quotient should be x-11 and the remainder a linear polynomial over x^2+11x+24.
     
  6. Sep 16, 2008 #5

    HallsofIvy

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    First of all, you aren't doing "synthetic division". Synthetic division is used to divide a polynomial by a first order term of the form x- a only. What you are doing is just division with polynomials.

    It's hard to comment since you didn't show your work. Did you handle the "0x2" and "0x" in the dividend properly?
     
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