How do you use synthetic division to divide (10x^4-50x^3-800)/(x-6)?

Oct 12, 2017

Quotient $10 {x}^{3} + 10 {x}^{2} + 60 x + 360$, Remainder $1360$

Explanation:

$6 \textcolor{w h i t e}{a a a} | \textcolor{w h i t e}{a a a} 10 \textcolor{w h i t e}{a a a} - 50 \textcolor{w h i t e}{a a a} 0 \textcolor{w h i t e}{a a a} 0 \textcolor{w h i t e}{a a a} - 800$
$\textcolor{w h i t e}{a a a a} | \textcolor{w h i t e}{a a a a a a a a a a} 60 \textcolor{w h i t e}{a a a} 60 \textcolor{w h i t e}{a} 360 \textcolor{w h i t e}{a a a a} 2160$
color(white )(aaaa ) |……………………………………
$\textcolor{w h i t e}{a a a a a a a a a} 10 \textcolor{w h i t e}{a a a a a} 10 \textcolor{w h i t e}{a a a} 60 \textcolor{w h i t e}{a} 360 \textcolor{w h i t e}{a a a a} 1360$

Quotient $10 {x}^{3} + 10 {x}^{2} + 60 x + 360$, Remainder $1360$