SOLUTION: Perform the indicated divisions x²-2x-35 _________ x+5

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Question 94272: Perform the indicated divisions
x²-2x-35
_________
x+5

Answer by ebaby(1)   (Show Source): You can put this solution on YOUR website!
The first step in this problem would be to make 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


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