Factor F(x) into Linear Factors Given That K Is a Zero

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $$f ( x ) = x ^ { 3 } - 12 x - 16 ; k = - 2 \text { (multiplicity 2) }$$

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