Find the Zeros of the Function Below Algebraically, If Any $f ( x ) = x ^ { 5 } - 5 x ^ { 3 } + 4 x$

Find the zeros of the function below algebraically, if any exist.
$f ( x ) = x ^ { 5 } - 5 x ^ { 3 } + 4 x$

A) $- 4 , - 1,1,4$
B) $- 4 , - 2,2,4$
C) $- 2 , - 1,0,1,2$
D) $- 4 , - 2,0,2,4$
E) No zeros exist.