Question

divide.
\\(\dfrac{6x^7 + 18x^5 - 4x^4}{2x^3}\\)
simplify your answer as much as possible.

Explanation:

Step1: Split the fraction into terms

$\frac{6x^7 + 18x^5 - 4x^4}{2x^3} = \frac{6x^7}{2x^3} + \frac{18x^5}{2x^3} - \frac{4x^4}{2x^3}$

Step2: Simplify each term

For $\frac{6x^7}{2x^3}$: $\frac{6}{2}x^{7-3}=3x^4$
For $\frac{18x^5}{2x^3}$: $\frac{18}{2}x^{5-3}=9x^2$
For $\frac{4x^4}{2x^3}$: $\frac{4}{2}x^{4-3}=2x$

Answer:

$3x^4 + 9x^2 - 2x$