There are 12 marbles in a bag, and the marbles are either yellow or green ]. Two marbles will be randomly picked from the bag, w
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Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form 
. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.
In the denominator we have a difference of squares:
Now we can rewrite our function:
From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at
and 
We can conclude that the graphic of our rational function is:
In the denominator we have a difference of squares:
Now we can rewrite our function:
From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at
We can conclude that the graphic of our rational function is: