# How do you perform the division (3y^2 +4y -32) div(y +4)?

##### 1 Answer
Oct 24, 2016

The result of the division is $3 y - 8$

#### Explanation:

we make a long division

$3 {y}^{2}$$+ 4 y$$\textcolor{w h i t e}{a a}$$- 32$∣$y + 4$
$3 {y}^{2} + 12 y$$\textcolor{w h i t e}{a a a a}$∣$3 y - 8$
$\textcolor{w h i t e}{a}$ $0 - 8 y - 32$
$\textcolor{w h i t e}{a a a a a}$$8 y - 32$
$\textcolor{w h i t e}{a a a a a a}$$0 + 0$

So the remainder is $0$