Find All Rational Zeros and Factor F(x) $$f ( x ) = 8 x ^ { 3 } + 2 x ^ { 2 } - 5 x + 1$$

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = 8 x ^ { 3 } + 2 x ^ { 2 } - 5 x + 1$$

A) $2,4 , - 1 ; f ( x ) = ( 2 x - 1 ) ( 4 x - 1 ) ( x + 1 )$
B) $\frac { 1 } { 2 } , \frac { 1 } { 4 } , - 1 ; f ( x ) = ( 2 x - 1 ) ( 4 x - 1 ) ( x + 1 )$
C) $\frac { 1 } { 8 } , 4 , - 1 ; f ( x ) = ( 8 x - 1 ) ( x - 4 ) ( x + 1 )$
D) $\frac { 1 } { 8 } , 1 , - 1 ; f ( x ) = ( 8 x - 1 ) ( x - 1 ) ( x + 1 )$