Question 202945
{{{(6x3 - 5x2 - 13x + 13) / (2x + 3)}}}
Using long division:
<pre>
        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
</pre>
{{{(6x3 - 5x2 - 13x + 13) / (2x + 3) = 3x^2  +   (-7x)    +      4 + 1/(2x + 3)}}}