Question

divide.
$\frac{3x^{5}+6x^{3}}{-x^{2}}$
simplify your answer as much as possible.

Explanation:

Step1: Split the fraction

$\frac{3x^5 + 6x^3}{-x^2} = \frac{3x^5}{-x^2} + \frac{6x^3}{-x^2}$

Step2: Simplify each term

For $\frac{3x^5}{-x^2}$: $\frac{3}{-1} \cdot x^{5-2} = -3x^3$
For $\frac{6x^3}{-x^2}$: $\frac{6}{-1} \cdot x^{3-2} = -6x$

Step3: Combine simplified terms

$-3x^3 + (-6x) = -3x^3 -6x$

Answer:

$-3x^3 - 6x$