Find the Zeros of the Function Below Algebraically, If Any $$f ( x ) = x ^ { 6 } - 9 x ^ { 3 } + 8$$

Find the zeros of the function below algebraically, if any exist.
$$f ( x ) = x ^ { 6 } - 9 x ^ { 3 } + 8$$

A) 1 and 2
B) $- 4$ and 1
C) $- 4$ and 2
D) $- 4 , - 1,1$ , and 4
E) $- 4 , - 2,2$ , and 4