Find the Zeros of the Function Below Algebraically, If Any $f ( x ) = x ^ { 6 } + 28 x ^ { 3 } + 27$

Multiple Choice

Find the zeros of the function below algebraically, if any exist.
$f ( x ) = x ^ { 6 } + 28 x ^ { 3 } + 27$

A) $- 3$ and $- 1$
B) $- 2$ and $- 1$
C) $- 3$ and $- 2$
D) $- 2 , - 1,1$ , and 2
E) $- 3 , - 2,2$ , and 3