# How do you find the quotient of (a^2+a-12)div(a-3)?

Jun 23, 2017

The quotient is $a + 4$

#### Explanation:

Factorise first:

$\frac{{a}^{2} + a - 12}{a - 3} = \frac{\left(a + 4\right) \left(a - 3\right)}{a - 3}$

Cancel the like factors:

$\frac{\left(a + 4\right) \cancel{\left(a - 3\right)}}{\cancel{\left(a - 3\right)}}$

The quotient is $a + 4$