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

Multiple Choice

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.