Question 378178
Use polynomial long division,
<pre>

           p^2 + 3p + 6
         ________________________________
5p^2 - 3 | 5p^4 + 15p^3 - 33p^2 - 9p - 18
       -  (5p^4 +  0p^3 -  3p^2)
          ----------------------
                  15p^3 + 30p^2 - 9p
              -  (15p^3 +  0p^2 - 9p)
                 ------------------------
                          30p^2 + 0p - 18
                      -  (30p^2 + 0p - 18)
                         -----------------
                                        0
</pre>
{{{(5p^4 + 15p^3 - 33p^2 - 9p - 18)/(5p^2 - 3)=highlight((p^2 + 3p + 6))}}}