You can pick the correct answer choice just by looking at the term with the highest degree.
... (36x³)/(-6x) = (-36/6)·(x³/x) = -6x²
The best choice is the second one:
... −6x² + x − 2
Answer:
[tex]-6x^2+x-2[/tex]
Step-by-step explanation:
[tex]\frac{36x^3-6x^2+12x}{-6x}[/tex]
To divide this,we divide each term by [tex]-6x[/tex]
Apply exponential property
[tex]\frac{a^m}{^n}=a^{m-n}[/tex]
[tex]\frac{36x^3}{-6x} =-6x^2[/tex]
[tex]\frac{-6x^2}{-6x} =x[/tex]
[tex]\frac{12x}{-6x} =-2[/tex]
So the simplified expression is
[tex]-6x^2+x-2[/tex]
