Question 116844
You don't make it clear as to the method you are supposed to use to do the division (Long Division, Synthetic Division, or Factoring the numerator and eliminating like factors from numerator and denominator).


Here's the long division method:
_________{{{x-7)}}}
___________________
{{{x+5}}} | {{{x^2-2x-35}}}
_____{{{x^2+5x}}}
_______{{{-7x-35}}}


Here's the factoring method


{{{(x^2-2x-35)/(x+5)=((x+5)(x-7))/(x+5)=(cross((x+5))(x-7))/cross((x+5))=x-7}}}


As we would expect, the results are the same either way.



Hope this helps,
John