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Math Help - Long Division in this Problem

  1. #1
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    Long Division in this Problem

    I'm doing partial fractions and honestly can't figure out how to divide x^3 by x^2+5x+6 using long division. Could somebody go through it step by step and remind me?
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  2. #2
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    Quote Originally Posted by fattydq View Post
    I'm doing partial fractions and honestly can't figure out how to divide x^3 by x^2+5x+6 using long division. Could somebody go through it step by step and remind me?
    Code:
               x  -  5
              --------------
    x^2+5x+6 | x^3
               x^3 + 5x^2 + 6
             -----------------
                   -5x^2        - 6
                   -5x^2 - 25x - 30
                  ------------------
                           25x + 24
    \frac{x^3}{x^2+5x+6} = x - 5  + \frac{25x + 24}{x^2+5x+6}
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  3. #3
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    I don't understand how you didn't carry the 6x in the second line "inside" your long division?
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  4. #4
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    sorry, my mistake ...

    Code:
               x  -  5
              --------------
    x^2+5x+6 | x^3
               x^3 + 5x^2 + 6x
             -----------------
                   -5x^2  - 6x
                   -5x^2 - 25x - 30
                  ------------------
                           19x + 30
    \frac{x^3}{x^2+5x+6} = x - 5 + \frac{19x + 30}{x^2+5x+6}

    better?
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  5. #5
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    Yeah thanks a lot
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