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
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