Question 965934
Just like regular long division.  Same process but easier.  Here it is shown without breaking into separate steps.


____________|_____<b>3x</b>________<b>4</b>
____________|___________________________
__x-4_______|_____3x^2______-8x______-25
____________|_____3x^2______-12x
____________|____________________________
___________________0________4x______<i>-25</i>
____________________________4x_______-16
_____________________________________________
_____________________________0________-9



The quotient is  {{{3x+4}}}, and the remainder is {{{-9}}}.
This means, the result of the division is the rational expression,
{{{3x+4-9/(x-4)}}}.