Question 1153255

{{{(x^3-9x^2+15x+25)/(x-5)}}}

using long division:

...........({{{x^2-4x-5}}}
{{{x-5}}}.|{{{x^3-9x^2+15x+25}}}
...........{{{x^3-5x^2}}}........subtract
.............{{{0-4x^2+15x }}}...bring down {{{15x}}}
..............{{{-4x^2+20x }}}......subtract
.................{{{0-5x +25}}}..bring down {{{25}}}
..................{{{-5x +25}}}.....subtract
....................{{{0 +0}}}-> reminder


{{{(x^3-9x^2+15x+25)/(x-5)=(x^2-4x-5)(x-5)+0}}}