# How do you find the quotient x^2-2x-30div x+7 using long division?

##### 1 Answer
Jan 27, 2018

$\left({x}^{2} - 2 x - 30\right) \div \left(x + 7\right) = x - 9 + \frac{33}{x + 7}$

#### Explanation:

Long division of polynomials is similar to long division of numbers...

$\textcolor{w h i t e}{x + 7 \text{ )")underline(" } {x}^{\textcolor{w h i t e}{2}} - 9 \textcolor{w h i t e}{000000}}$
$x + 7 \text{ )" " } {x}^{2} - 2 x - 30$
$\textcolor{w h i t e}{x + 7 \text{ )" " }} \underline{{x}^{2} + 7 x}$
$\textcolor{w h i t e}{x + 7 \text{ )" " } {x}^{2}} - 9 x - 30$
$\textcolor{w h i t e}{x + 7 \text{ )" " } {x}^{2}} - 9 x - 63$
$\textcolor{w h i t e}{x + 7 \text{ )" " } {x}^{2}} \overline{\textcolor{w h i t e}{- 9 x + .} 33 \textcolor{w h i t e}{0}}$