Find All the Rational Zeros of the Function $f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 400$

Find all the rational zeros of the function $f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 400$ .

A) $x = - 4,5 , - 5 , - \frac { 3 } { 4 }$
B) $x = 3 , - 20,5$
C) $x = 4,5 , - 5 , \frac { 4 } { 3 }$
D) $x = - \frac { 4 } { 5 } , \frac { 5 } { 3 } , \frac { 4 } { 3 } , - 5$
E) $x = 3 , - 20 , \frac { 5 } { 3 } , \frac { 4 } { 3 }$

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