# How do you divide (3n ^ { 3} + 23n ^ { 2} + 26n - 26) \div ( n + 6)?

Apr 27, 2018

$\frac{3 {n}^{3} + 23 {n}^{2} + 26 n - 26}{n + 6} = 3 {n}^{2} + 5 n - 4 - \frac{2}{n + 6}$.

#### Explanation:

This is a job for synthetic division!

This means that

$\frac{3 {n}^{3} + 23 {n}^{2} + 26 n - 26}{n + 6} = 3 {n}^{2} + 5 n - 4 - \frac{2}{n + 6}$.

Another way of saying this is

$3 {n}^{3} + 23 {n}^{2} + 26 n - 26 = \left(3 {n}^{2} + 5 n - 4\right) \left(n + 6\right) - 2$.