How do you find the quotient of (4z^3+1)div2z?

Jun 5, 2017

$= 2 {z}^{2} + \frac{1}{2 z}$

Explanation:

$\left(4 {z}^{3} + 1\right) \div 2 z \text{ = } \frac{4 {z}^{3} + 1}{2 z}$

Write as 2 separate terms and simplify each:

$= \frac{4 {z}^{3}}{2 z} + \frac{1}{2 z}$

$= 2 {z}^{2} + \frac{1}{2 z}$

The second term is not divisible by $2 z$, so it becomes a remainder.