Factor Completely $$y z ^ { 3 } + 512 y$$

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$y z ^ { 3 } + 512 y$$

A) $( y z + 8 ) \left( z ^ { 2 } - 8 z + 64 y \right)$
B) $y ( z + 8 ) \left( z ^ { 2 } + 64 \right)$
C) $y ( z - 8 ) \left( z ^ { 2 } + 8 z + 64 \right)$
D) $y ( z + 8 ) \left( z ^ { 2 } - 8 z + 64 \right)$