Factor Out the Largest Possible Common Factor $$x ^ { 3 } + 6 x ^ { 2 } + x + 6$$

Multiple Choice

Factor out the largest possible common factor.
- $$x ^ { 3 } + 6 x ^ { 2 } + x + 6$$

A) $\left( 6 x ^ { 2 } + 6 \right) ( x + 1 )$
B) $\left( x ^ { 2 } + 1 \right) ( 6 x + 6 )$
C) $\left( x ^ { 2 } + 6 \right) ( x + 1 )$
D) $\left( x ^ { 2 } + 1 \right) ( x + 6 )$