Find All Rational Zeros and Factor F(x) $$f ( x ) = 10 x ^ { 3 } + 53 x ^ { 2 } + 14 x - 5$$

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = 10 x ^ { 3 } + 53 x ^ { 2 } + 14 x - 5$$

A) $- \frac { 1 } { 10 } , 1 , - 5 ; f ( x ) = ( 10 x + 1 ) ( x - 1 ) ( x + 5 )$
B) $- 2,5 , - 5 ; f ( x ) = ( x + 2 ) ( x - 5 ) ( x + 5 )$
C) $- \frac { 1 } { 2 } , \frac { 1 } { 5 } , - 5 ; f ( x ) = ( 2 x + 1 ) ( 5 x - 1 ) ( x + 5 )$
D) $- 2,5 , - 5 ; f ( x ) = ( 2 x + 1 ) ( 5 x - 1 ) ( x + 5 )$