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, $\frac { 5 } { 2 }$ , $\frac { 1 } { 2 }$