Question 94272
The first step in this problem would be to make {{{x+5}}} equal to zero.Then solve
1.x+5=0
x=-5
 
Now you can divide it. Synthetic division is an easy way to do it 

You set the problem up as follows:
you would put -5 on the left of the line and Break down the polynomial by its coefficients in order
-5|1 -2 -35

Next you would bring down the one 
-5|1 -2 -35
   |
------------
   1
next you multiply 1 by -5 and add the answer to -2

-5|1 -2 -35
   | -5
-------------
   1 -7

Then do the same with -5 and -7

-5|1 -2 -35
  |  -5  35
-------------
   1 -7  0

Then convert back into a polynomial. the last term is the remainder.

so the answer is 1x-7 Remainder 0

Then check your answer by multiplying 1x-7 and x+5. The answer should equal the original polynomial {{{x^2-2x-35}}}