Question

divide.
$\frac{10x^{5}+8x^{2}}{-x^{2}}$
simplify your answer as much as possible.

Explanation:

Step1: Split the fraction

$\frac{10x^5 + 8x^2}{-x^2} = \frac{10x^5}{-x^2} + \frac{8x^2}{-x^2}$

Step2: Simplify first term

$\frac{10x^5}{-x^2} = -10x^{5-2} = -10x^3$

Step3: Simplify second term

$\frac{8x^2}{-x^2} = -8$

Step4: Combine simplified terms

$-10x^3 + (-8) = -10x^3 - 8$

Answer:

$-10x^3 - 8$