Find the quotient and simplify.
-$\frac { z ^ { 2 } + 11 z + 30 } { z ^ { 2 } + 13 z + 42 } \div \frac { z ^ { 2 } + 5 z } { z ^ { 2 } + 15 z + 56 }$
A) $\frac { z + 8 } { z }$
B) $\frac { z } { z ^ { 2 } + 13 z + 42 }$
C) $\frac { z + 8 } { z ^ { 2 } + 7 z }$
D)z + 8

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{(z+5)(z+6)}{(z+7)(z+6)} \times \frac{(z+7)(z+8)}{z(z+5)}$, which simplifies to $\frac{z+8}{z}$.

Find the Quotient and Simplify z2+11z+30z2+13z+42÷z2+5zz2+15z+56\frac { z ^ { 2 } + 11 z + 30 } { z ^ { 2 } + 13 z + 42 } \div \frac { z ^ { 2 } + 5 z } { z ^ { 2 } + 15 z + 56 }z2+13z+42z2+11z+30​÷z2+15z+56z2+5z​

Find the Quotient and Simplify $\frac { z ^ { 2 } + 11 z + 30 } { z ^ { 2 } + 13 z + 42 } \div \frac { z ^ { 2 } + 5 z } { z ^ { 2 } + 15 z + 56 }$