SOLUTION: divide the following expression: (x^2+10x+21) / (x+7) A) x^2+3 B) x-2 C) x+5 D) x+3

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: divide the following expression: (x^2+10x+21) / (x+7) A) x^2+3 B) x-2 C) x+5 D) x+3      Log On

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Question 145600: divide the following expression:
(x^2+10x+21) / (x+7)
A) x^2+3
B) x-2
C) x+5
D) x+3
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2B10x%2B21%29%2F%28x%2B7%29 Start with the given expression.


%28%28x%2B7%29%2A%28x%2B3%29%29%2F%28x%2B7%29 Factor x%5E2%2B10x%2B21 to get %28x%2B7%29%2A%28x%2B3%29.


%28highlight%28x%2B7%29%28x%2B3%29%29%2F%28highlight%28x%2B7%29%29 Highlight the common terms.


%28cross%28x%2B7%29%28x%2B3%29%29%2F%28cross%28x%2B7%29%29 Cancel out the common terms.


x%2B3 Simplify.


So %28x%5E2%2B10x%2B21%29%2F%28x%2B7%29 simplifies to x%2B3.


In other words, %28x%5E2%2B10x%2B21%29%2F%28x%2B7%29=x%2B3 where x%3C%3E-7