SOLUTION: NEED HELP .. Write a rational expression involving one variable for which the excluded values are -4 and -7.

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Question 1079813: NEED HELP .. Write a rational expression involving one variable for which the excluded values are -4 and -7.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
The dnominator of the rational expression has to be such that
when either -4 or -7 is substituted for x, the denominator
becomes zero.  So we find such a denominator we find a quadratic
equation with solutions 

    x = -4 and x = -7 

Get 0 on the right of each:

   x+4 = 0 and x+7 = 0

Now we multiply equals by equals,
multiply left sides and multiply right sides:

  (x+4)(x+7) = (0)(0)

  (x+4)(x+7) = 0 

So that can be the denominator of such a rational 
function.  The numerator can be anything you choose:

1%2F%28x%2B4%29%28x%2B7%29 or 99%2F%28x%2B4%29%28x%2B7%29 or %285.32x%5E2%2B3.87x%2B74.3%29%2F%28x%2B4%29%28x%2B7%29

or any numerator you want to make up, as long is it doesn't contain
another variable besides x.  You can even multiply the denominator by
any constant, like this

%289.999x%5E23%2B1000%29%2F%2863%28x%2B4%29%28x%2B7%29%29

Edwin