SOLUTION: 6x^3-5x^2-13x+13/2x+3 can someone walk me through this

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Question 379550: 6x^3-5x^2-13x+13/2x+3
can someone walk me through this
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use polynomial long division,

          3x^2 + (-7x) +  4
        __________________________
2x + 3 |  6x^3 -  5x^2 - 13x + 13     
       - (6x^3 +  9x^2)
       ---------------
                -14x^2 - 13x
             - (-14x^2 - 21x)
                --------------
                          8x + 13
                      -  (8x + 12)
                          --------
                                1

+%286x%5E3-5x%5E2-13x%2B13%29%2F%282x%2B3%29+=%283x%5E2-7x%2B4%29%2B1%2F%282x%2B3%29