Question

divide. if there is a remainder, include it as a simplified fraction. \\((56z^{3} - 42z + 49) \div 7z\\)

Explanation:

Step1: Split the polynomial division

$\frac{56z^3 - 42z + 49}{7z} = \frac{56z^3}{7z} - \frac{42z}{7z} + \frac{49}{7z}$

Step2: Simplify each term

$\frac{56z^3}{7z}=8z^2$, $\frac{42z}{7z}=6$, $\frac{49}{7z}=\frac{7}{z}$

Answer:

$8z^2 - 6 + \frac{7}{z}$