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) $\left( x ^ { 2 } - 4 \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

The polynomial is a perfect square trinomial, factoring into $(x^2 + 4)^2$, because $x^4 + 8x^2 + 16$ can be written as $(x^2 + 4)^2$.

If Possible, Factor the Polynomial Completely x4+8x2+16x ^ { 4 } + 8 x ^ { 2 } + 16x4+8x2+16

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