Question 1148192
<br>
Synthetic division can only be used to divide a polynomial by a linear binomial; you need to use long division.<br>
Do you not know how to do polynomial long division?  Here is an example.<br><pre>

                                 2x  +  3
                -------------------------
  3x^2 - 2x + 5 )  6x^3 + 5x^2 +  6x + 20
                   6x^3 - 4x^2 + 10x
                   ----------------------
                          9x^2 -  4x + 20
                          9x^2 -  6x + 15
                          ---------------
                                  2x +  5</pre>
6x^3+5x^2+6x+20, divided by 3x^2-2x+5, is 2x+3 with remainder 2x+5.  Or, in the form required in your problem,<br>
{{{6x^3+5x^2+6x+20 = (3x^2-2x+5)(2x+3) + (2x+5)}}}<br>