# How do you use synthetic division to divide (-3x^4)/(x-2)?

Jan 29, 2018

$\textcolor{g r e e n}{- 3 {x}^{3} - 6 {x}^{2} - 12 x - 24 - \frac{48}{x - 2}}$

#### Explanation:

$\textcolor{w h i t e}{a a} 2 \textcolor{w h i t e}{a a} | \textcolor{w h i t e}{a a} - 3 \textcolor{w h i t e}{a a a a a} 0 \textcolor{w h i t e}{a a a} 0 \textcolor{w h i t e}{a a a a} 0 \textcolor{w h i t e}{a a a a} 0$
$\textcolor{w h i t e}{a a a a a a} |$
$\textcolor{w h i t e}{a a a a a} | \textcolor{w h i t e}{a a a a} \downarrow \textcolor{w h i t e}{a a} - 6 - 12 - 24 - 48$
$\textcolor{w h i t e}{a a a a a} \vdash - - - - - - - - - - -$

$\textcolor{w h i t e}{a a a a a a a a a} - 3 \textcolor{w h i t e}{a a a} - 6 - 12 - 24 - 48$

$\textcolor{g r e e n}{- 3 {x}^{3} - 6 {x}^{2} - 12 x - 24 - \frac{48}{x - 2}}$