Answer
$= 3t^{3} + 4t + \frac{6}{5}$
Work Step by Step
$\frac{15t^{4}+20t^{2}+6t}{5t}$
$= \frac{t(15t^{3}+20t+6)}{t(5)}$
$= \frac{15t^{3}+20t+6}{5}$
$= \frac{15t^{3}}{5} + \frac{20t}{5} + \frac{6}{5}$
$= \frac{3t^{3}}{1} + \frac{4t}{1} + \frac{6}{5}$
$= 3t^{3} + 4t + \frac{6}{5}$
