Question

divide.\\(
\frac{24x^{5} + 33x^{4} + 12x^{3}}{4x^{3}}\\)
simplify your answer as much as possible.

Explanation:

Step1: Split the fraction

$\frac{24x^5 + 33x^4 + 12x^3}{4x^3} = \frac{24x^5}{4x^3} + \frac{33x^4}{4x^3} + \frac{12x^3}{4x^3}$

Step2: Simplify each term

$\frac{24x^5}{4x^3}=6x^2$, $\frac{33x^4}{4x^3}=\frac{33}{4}x$, $\frac{12x^3}{4x^3}=3$

Step3: Combine simplified terms

$6x^2 + \frac{33}{4}x + 3$

Answer:

$6x^2 + \frac{33}{4}x + 3$