SOLUTION: divide x^2+4x-5 _________ x+5 I don't know how to divide this fraction problem. Help.

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Question 319178: divide
x^2+4x-5
_________
x+5
I don't know how to divide this fraction problem. Help.
Found 2 solutions by nyc_function, jim_thompson5910:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
We can use synthetic division.
From x + 5, we use -5.
1 x -5 = -5
-5 + 4 = -1
-1 x -5 = 5
5 + -5 = 0...This zero means NO REMAINDER.
From this chart, the factor (x - 1) is found.
This means the quotient in this case is (x - 1).
Done!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2%2B4x-5%29%2F%28x%2B5%29 Start with the given expression.


%28%28x%2B5%29%28x-1%29%29%2F%28x%2B5%29 Factor the numerator.


%28highlight%28%28x%2B5%29%29%28x-1%29%29%2Fhighlight%28%28x%2B5%29%29 Highlight the common terms.


%28cross%28%28x%2B5%29%29%28x-1%29%29%2Fcross%28%28x%2B5%29%29 Cancel out the common terms.


x-1 Simplify.


So %28x%5E2%2B4x-5%29%2F%28x%2B5%29 simplifies to x-1


This then means that %28x%5E2%2B4x-5%29%2F%28x%2B5%29=x-1 where x%3C%3E-5