Answer:
A. -x^2 + 3x -2
Step-by-step explanation:
We have the expression:
(4x^3 - 12x^2 + 8x)/(-4x)
When we are dividing we can change the division into shorter expressions:
-
+ 
After we change the expression to make the divisions shorter we can start solving each part individually, dividing the numbers and the variables; to divide variables we rest the exponent of the numerator by the exponent of the same variable in the denominator, for example:
if we have
<em>x^n / x^m = x^n-m </em>
<em>or if we change it by numbers it will be:</em>
<em>x^3 / x^2 = x^3-2 = x^1 = x</em>
Now, solving the expression we get:
-x^2 + 3x - 2