## Related questions with answers

Question

Divide. $\left(40 h-8 h^{3}\right) \div(8 h)$

Solution

VerifiedStep 1

1 of 2Determine the quotient of the given polynomial.

$\begin{align*} &= \dfrac{40h - 8h^{3}}{8h} && \text{Write the expression}\\ &= \dfrac{40h}{8h} - \dfrac{8h^{3}}{8h} && \text{Divide each term by $8h$}\\ &= \dfrac{40}{8} \cdot \dfrac{h}{h} - \dfrac{8}{8} \cdot \dfrac{h^{3}}{h} && \text{Use associative property}\\ &= 5 \cdot 1 - 1 \cdot h^{3 - 1} && \text{Use quotient of powers and identity properties}\\ &= 5 - h^{2} && \text{Simplify} \end{align*}$

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