Answer:

Step-by-step explanation:
Given


Required
Determine the quotient
See attachment for complete process.
First, divide 125x^3 by 5x

Write
at the top
Multiply
by 

Subtract from 125x^3 - 8
i.e.

Step 2:
Divide 50x^2 by 5x

Write
at the top
Multiply
by 

Subtract from 50x^2 - 8
i.e.

Step 3:
Divide 20x by 5x

Write
at the top
Multiply
by 

Subtract from 20x - 8
i.e.

Hence:

Factor the demoniator:-
x^2 -2x - 24 = (x - 6)(x + 4)
the asymptotes occurs when denominator = 0
so here they are the vertical lines x = 6 and x = -4
The answer is D.8m
you do this by finding the square root of 64.