Factor Completely $100 x ^ { 3 } + 120 x ^ { 2 } + 32 x$

Multiple Choice

Factor completely.
- $100 x ^ { 3 } + 120 x ^ { 2 } + 32 x$

A) $x ( 20 x + 16 ) ( 5 x + 2 )$
B) $x ( 5 x + 4 ) ( 20 x + 8 )$
C) $4 x ( 5 x + 4 ) ( 5 x + 2 )$
D) $4 \left( 5 x ^ { 2 } + 4 \right) ( 5 x + 2 )$