Question 59578
-2(x+1)(x+4)^2
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(x+2)^2(x-3)
What are the vertical and horizontal asymptotes.
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Horizontal:
The highest power term in the numerator is -2x^3
The highest power term in the denominator is x^3
The ratio of these terms is -2/1
There is a horizontal asymptote at y=-2
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Vertical:
Vertical asymptotes occur when the denominator is zero at 
an x value where the numerator is not also zero.
You have vertical asymptotes at x=-2 and x=3
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Cheers,
Stan H.