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Synethic division

  1. Jul 27, 2011 #1
    1. The problem statement, all variables and given/known data

    I apologise that this is not in LaTeX, but i just couldn't find the codes

    Use long division or synthetic division: (9x^4 -x^2 - 6x+2) / (3x-1)



    3. The attempt at a solution

    So the root is x = 1/3

    P(1/3) = 0, no remaindar

    1/3 | 9 0 -1 -6 2
    ......|...3 -1 0 -2
    ___________
    .......9 -3 0 - 6 4

    Where did i go wrong?
     
  2. jcsd
  3. Jul 27, 2011 #2

    ehild

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    What do you do really? If I guess well, the second line should be
    3 -1 -6 2.

    ehild
     
  4. Jul 27, 2011 #3

    SammyS

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    You should ADD items in the first and second lines.

    Don't forget to divide the result by 3.
     
  5. Jul 27, 2011 #4
    Sammy, why did you leave the physics forum? Come back!
     
  6. Jul 27, 2011 #5

    SammyS

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    Gee, I think I'm still there --- or am I here ??

    BTW: I've posted a couple of times in a recent Gauss's Law thread of yours.
     
  7. Jul 28, 2011 #6
    If you are talking about this one https://www.physicsforums.com/showthread.php?t=489350&page=9, I think eveyrone gave up on it already lol. Oh yeah yuo mean my new problem.
     
  8. Jul 28, 2011 #7

    HallsofIvy

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    The problem was to divide [itex]9x^4- x^2- 6x+ 2[/itex] by 3x- 1. Your synthetic division is dividing by x- 1/3. That's why SammyS says you need to also divide by 3.
     
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