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.

Question

Quizplus · Accepted Answer

The function $ f(x)=2x^4+10x^2+12 $ is a quadratic in terms of $ x^2 $. Completing the square or using the quadratic formula shows that the discriminant is negative, indicating no real zeros exist.

Find the Zeros of the Function Below Algebraically, If Any f(x)=2x4+10x2+12 f(x)=2 x^{4}+10 x^{2}+12 f(x)=2x4+10x2+12

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