# How do you divide (5x^2 + 22x + 8)/( 6x+8)?

Feb 10, 2017

$\frac{5}{6} x + \frac{23}{9} - \frac{112}{54 x + 72}$

#### Explanation:

I am afraid you are into fractions with this one!

$\text{ } 5 {x}^{2} + 22 x + 8$
$\frac{5}{6} x \left(6 x + 8\right) \to \text{ "ul(5x^2+40/6x) larr" subtract}$
$\text{ } 0 + \frac{46}{3} x + 8$
$\frac{46}{3 \times 6} \left(6 x + 8\right) \to \text{ " ul(46/3x+184/9) larr" subtract}$
$\text{ } 0 - \frac{112}{9}$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\frac{5 {x}^{2} + 22 x + 8}{6 x + 8} \text{ "=" } \frac{5}{6} x + \frac{23}{9} - \frac{112}{9 \left(6 x + 8\right)}$

$\text{ } = \frac{5}{6} x + \frac{23}{9} - \frac{112}{54 x + 72}$

$\textcolor{red}{\text{That was cruel!!!!}}$