Question 1004802
{{{f(x)=2x^4-x^3-13x^2-6x}}}
{{{x(2x^3-x^2-13x-6)}}}


Synthetic Division instead of Polynomial Division
<pre>
     -2    |    2    -1    -13    -6
           |
           |         -4     10    6
           |_________________________________
                2    -5     -3     0
</pre>
The quotient means  quadratic factor  {{{2x^2-5x-3}}},
{{{(2x+1)(x-3)}}}
for the completely factored function
{{{highlight(f(x)=x(x+2)(x-3)(2x+1))}}}