If Possible, Factor the Polynomial Completely $$x ^ { 4 } + 8 x ^ { 2 } + 16$$

Multiple Choice

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
- $$x ^ { 4 } + 8 x ^ { 2 } + 16$$

A) $\left( x ^ { 2 } + 8 \right) \left( x ^ { 2 } - 8 \right)$
B) $\left( x ^ { 2 } + 4 \right) ^ { 2 }$
C) $\left( x ^ { 2 } + 4 \right) \left( x ^ { 2 } - 4 \right)$
D) $\left( x ^ { 2 } - 4 \right) ^ { 2 }$