Find All Rational Zeros and Factor F(x) $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } - x - 4$$

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } - x - 4$$

A) $1 , - 1 , - 5 ; f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 5 )$
B) $1 , - 1 , - 4 ; f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 4 )$
C) $1 , - 2,6 ; f ( x ) = ( x - 1 ) ( x + 2 ) ( x - 6 )$
D) $1 , - 1,4 ; f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 4 )$