Factor the Expression That Defines the Function $k ( w ) = w ^ { 3 } + 7 w ^ { 2 } + 4 w + 28$

Multiple Choice

Factor the expression that defines the function. $k ( w ) = w ^ { 3 } + 7 w ^ { 2 } + 4 w + 28$

A) $k ( w ) = ( w + 7 ) \left( w ^ { 2 } + 4 \right)$
B) $k ( w ) = w ^ { 2 } ( w + 7 ) + 2 ( 2 w + 14 )$
C) $k ( w ) = ( w + 7 ) ( w + 2 ) ( w - 2 )$
D) $k ( w ) = w ^ { 3 } + 7 w ^ { 2 } + 4 w + 28$ (Expression is prime)