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Synthetic Division

  1. Apr 13, 2005 #1
    I was wondering if you could help me out with this problem. Please explain how to solve using synthetic division. I need to know how to solve it.

    [tex]\frac{6x^4-3x^3+5x^2+2x-6}{3x^2-2}[/tex]

    The answer is [tex]2x^2-x+3[/tex]
     
  2. jcsd
  3. Apr 13, 2005 #2

    dextercioby

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    What is synthetic division and through what is it different from normal division?

    Daniel.
     
  4. Apr 13, 2005 #3
    Synthetic Division is described here. It's a faster way of doing polynomial division.
     
  5. Apr 13, 2005 #4

    dextercioby

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    AAAaaaaaaaaaaaaah,i knew it under the name "Schema lui Horner" (Horner's trick).Well,wasn't that Wiki page clear??

    Daniel.
     
  6. Apr 13, 2005 #5
    This is actually a homework problem my sister posted (shes in alg/trig). What she is getting stuck on is the fact that the bottom is not [itex]x-r[/itex], but [itex]x^2-r[/itex] I haven't done it in a long time so I can't really help her with it.
     
  7. Apr 13, 2005 #6

    dextercioby

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    It doesn't work,i'm afraid.You see,the denominator doesn't factor into monoms with integer ([itex] \in\mathbb{Z} [/itex]) roots,so the "trick" is useless.U might read better the Wiki page,if u don't trust me.

    Daniel.
     
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