Find All Rational Zeros and Factor F(x) $$f ( x ) = 4 x ^ { 3 } - 12 x ^ { 2 } - x + 3$$

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = 4 x ^ { 3 } - 12 x ^ { 2 } - x + 3$$

A) $\frac { 1 } { 2 } , - \frac { 1 } { 2 } , 3 ; f ( x ) = ( 2 x - 1 ) ( 2 x + 1 ) ( x - 3 )$
B) $\frac { 1 } { 2 } , - \frac { 1 } { 2 } , 3 ; f ( x ) = ( x - 2 ) ( x + 2 ) ( x - 3 )$
C) $2 , - 2,3 ; f ( x ) = ( x - 2 ) ( x + 2 ) ( x - 3 )$
D) $1 , - 1,3 ; f ( x ) = ( 2 x - 1 ) ( 2 x + 1 ) ( x - 3 )$