# How do you find the quotient (15y^3+14y)div3y?

Jul 4, 2017

$5 {y}^{2} + \frac{14}{3}$

#### Explanation:

Expression $= \left(15 {y}^{3} + 14 y\right) \div 3 y$

$= \frac{15 {y}^{3} + 14 y}{3 y}$

$= \frac{15 {y}^{3}}{3 y} + \frac{14 y}{3 y}$

$= \frac{15 {y}^{3 - 1}}{3 \cancel{y}} + \frac{14 \cancel{y}}{3 \cancel{y}}$

$= 5 {y}^{2} + \frac{14}{3}$