Find All Rational Zeros and Factor F(x) $$f ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 2 x + 24$$

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 2 x + 24$$

A) $- 3 , - 4,2 ; f ( x ) = ( x + 3 ) ( x + 4 ) ( x - 2 )$
B) $3,4 , - 2 ; f ( x ) = ( x - 3 ) ( x - 4 ) ( x + 2 )$
C) $4,5 , - 2 ; f ( x ) = ( x - 4 ) ( x - 5 ) ( x + 2 )$
D) $- 4 , - 5,2 ; f ( x ) = ( x + 4 ) ( x + 5 ) ( x - 2 )$