Using the Factors (X - 4) and (X + 2) $f ( x ) = x ^ { 3 } + x ^ { 2 } - 14 x - 24$

Multiple Choice

Using the factors (x - 4) and (x + 2) , find the remaining factor(s) of $f ( x ) = x ^ { 3 } + x ^ { 2 } - 14 x - 24$ and write the polynomial in fully factored form.

A) $f ( x ) = ( x - 4 ) ( x + 2 ) ^ { 2 }$
B) $f ( x ) = ( x - 4 ) ( x + 2 ) ( x + 3 )$
C) $f ( x ) = ( x - 4 ) ( x + 2 ) ( x + 7 )$
D) $f ( x ) = ( x - 4 ) ^ { 2 } ( x + 2 )$
E) $f ( x ) = ( x - 4 ) ( x + 2 ) ( x - 3 )$