Find the Zeros of the Function Below Algebraically, If Any $f ( x ) = 2 x ^ { 4 } + 10 x ^ { 2 } + 12$

Find the zeros of the function below algebraically, if any exist. $f ( x ) = 2 x ^ { 4 } + 10 x ^ { 2 } + 12$

A) $- \sqrt { 3 } , - \sqrt { 2 } , \sqrt { 2 }$ , and $\sqrt { 3 }$
B) $- \sqrt { 3 } , 0$ , and $\sqrt { 3 }$
C) $- \sqrt { 3 }$ and $\sqrt { 3 }$
D) $- \sqrt { 2 }$ and $\sqrt { 2 }$
E) No zeros exist.

Correct Answer:

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