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Math Help - synthetic division

  1. #1
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    synthetic division

    I was given the problem to divide

    [x^5 - (1/3)x^4 +2x - 3] by (2x-3)

    using synthetic division.

    im stuck because (2x-3) needs to be in the form of (x-c)

    any help is greatly appreciated
    thanks, Jeremiah
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  2. #2
    Senior Member vincisonfire's Avatar
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    2x -3 = 2(x-\frac{3}{2})
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  3. #3
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    what would happen to the 2 out in front?
    when i do the synthetic division i come up with

    x^4 - (11/6)x^3 + (11/4)x^2 - (33/8)x +(131/16) remainder (-489/32)

    could this be a valid answer? or am i doing something wrong?
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  4. #4
    Senior Member vincisonfire's Avatar
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     \frac{95}{32} + \frac{21x}{16} + \frac{7x^2}{8} + \frac{7x^3}{12} + \frac{x^4}{2}
    Remainder  \frac{189}{32}
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