SOLUTION: x^2-5x-14 4 ________ . ____ 8 x-7

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Question 150924: x^2-5x-14 4
________ . ____
8 x-7
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28x%5E2-5x-14%29%2F%288%29%29%28%284%29%2F%28x-7%29%29 Start with the given expression.


%28%28%28x%2B2%29%28x-7%29%29%2F%28%282%29%284%29%29%29%28%284%29%2F%28x-7%29%29 Factor x%5E2-5x-14 to get %28x%2B2%29%28x-7%29.


%28%28%28x%2B2%29%28x-7%29%29%2F%28%282%29%284%29%29%29%28%284%29%2F%28x-7%29%29 Factor 8 to get %282%29%284%29.


%28%28x%2B2%29%28x-7%29%284%29%29%2F%28%282%29%284%29%28x-7%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%28x%2B2%29%2F%282%29 Simplify.


So %28%28x%5E2-5x-14%29%2F%288%29%29%28%284%29%2F%28x-7%29%29 simplifies to %28x%2B2%29%2F%282%29.


In other words, %28%28x%5E2-5x-14%29%2F%288%29%29%28%284%29%2F%28x-7%29%29=%28x%2B2%29%2F%282%29 where x%3C%3E7

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-5x-14 4
________ . ____
8 x-7
-----------------------
Factor to get:
[(x-7)(x+2)/8] * [4/(x-7)]
Cancel factors common to a numerator and a denominator:
= (x+2)/2
=================
Cheers,
Stan H.