SOLUTION: Divide x^2+7x+6/x+6

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Question 189043: Divide
x^2+7x+6/x+6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2B7x%2B6%29%2F%28x%2B6%29 Start with the given expression.


%28%28x%2B6%29%28x%2B1%29%29%2F%28x%2B6%29 Factor x%5E2%2B7x%2B6 to get %28x%2B6%29%28x%2B1%29.


%28highlight%28%28x%2B6%29%29%28x%2B1%29%29%2F%28highlight%28%28x%2B6%29%29%29 Highlight the common terms.


%28cross%28%28x%2B6%29%29%28x%2B1%29%29%2F%28cross%28%28x%2B6%29%29%29 Cancel out the common terms.


x%2B1 Simplify.


So %28x%5E2%2B7x%2B6%29%2F%28x%2B6%29 simplifies to x%2B1.


In other words, %28x%5E2%2B7x%2B6%29%2F%28x%2B6%29=x%2B1 where x%3C%3E-6