Factor the perfect square trinomial completely.
-$x ^ { 4 } + 10 x ^ { 2 } + 25$
A) $\left( x ^ { 2 } - 5 \right) ^ { 2 }$
B) $\left( x ^ { 2 } + 5 \right) \left( x ^ { 2 } - 5 \right)$
C) $\left( x ^ { 2 } + 10 \right) \left( x ^ { 2 } - 10 \right)$
D) $\left( x ^ { 2 } + 5 \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

The given trinomial is a perfect square because $10x^2$ is twice the product of $x^2$ and 5, and $25$ is $5^2$. Therefore, it factors to $(x^2 + 5)^2$.

Factor the Perfect Square Trinomial Completely x4+10x2+25x ^ { 4 } + 10 x ^ { 2 } + 25x4+10x2+25

Factor the Perfect Square Trinomial Completely $x ^ { 4 } + 10 x ^ { 2 } + 25$