# How do you divide (x^3-125)div(x-5) using synthetic division?

##### 1 Answer
Oct 12, 2017

Quotient ${x}^{2} + 5 x + 25$, Remainder $0$

#### Explanation:

$5 \textcolor{w h i t e}{a} | 1 \textcolor{w h i t e}{a a a a a} 0 \textcolor{w h i t e}{a a a a a} 0 \textcolor{w h i t e}{a a a a a}$-125
$\textcolor{w h i t e}{a a} | \textcolor{w h i t e}{a a a a a a} 5 \textcolor{w h i t e}{a a a a} 25 \textcolor{w h i t e}{a a a a a} 125$
color(white) (aa)|………………………………………
$\textcolor{w h i t e}{a a a a} 1 \textcolor{w h i t e}{a a a a a} 5 \textcolor{w h i t e}{a a a a} 25 \textcolor{w h i t e}{a a a a a a a} 0$

Quotient ${x}^{2} + 5 x + 25$, Remainder $0$
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