Perform the Indicated Operation and Express in Lowest Terms $\frac{z^{2}+9 z+14}{z^{2}+13 z+42} \div \frac{z^{2}+2 z}{z^{2}+15 z+54}$

Multiple Choice

Perform the indicated operation and express in lowest terms.
- $\frac{z^{2}+9 z+14}{z^{2}+13 z+42} \div \frac{z^{2}+2 z}{z^{2}+15 z+54}$

A) $\frac{z+9}{z^{2}+6 z}$

B) $\frac{z+9}{z}$

C) $z+9$

D) $\frac{z}{z^{2}+13 z+42}$