Find All Rational Zeros and Factor F(x) $$f ( x ) = x ^ { 3 } + 8 x ^ { 2 } - 16 x - 128$$

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = x ^ { 3 } + 8 x ^ { 2 } - 16 x - 128$$

A) $5,8 , - 8$ ; $f ( x ) = ( x - 5 ) ( x - 8 ) ( x + 8 )$
B) $4,8 , - 4 ; f ( x ) = ( x - 4 ) ( x - 8 ) ( x + 4 )$
C) $- 4 , - 8,4 ; f ( x ) = ( x + 4 ) ( x + 8 ) ( x - 4 )$
D) $- 5 , - 8,8 ; f ( x ) = ( x + 5 ) ( x + 8 ) ( x - 8 )$