Find All the Rational Zeros of the Function $f ( x ) = - 2 x ^ { 4 } - x ^ { 3 } + 51 x ^ { 2 } + 25 x - 25$

Multiple Choice

Find all the rational zeros of the function $f ( x ) = - 2 x ^ { 4 } - x ^ { 3 } + 51 x ^ { 2 } + 25 x - 25$ .

A) x = 1,-5,5,-2
B) x = -2,-5,-5
C) x = -1,-5,5, $\frac { 1 } { 2 }$
D) ​x = $- \frac { 1 } { 5 }$ , $\frac { 5 } { 2 }$ , $\frac { 1 } { 2 }$ ,5
E) ​x = -2,-5, $\frac { 5 } { 2 }$ , $\frac { 1 } { 2 }$