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

Question

Quizplus · Accepted Answer

This trinomial is a perfect square trinomial because $25 = 5^2$ and $10 = 2 \times 5$, fitting the form $a^2 - 2ab + b^2 = (a - b)^2$, where $a = x^2$ and $b = 5$.

Factor the Trinomial Completely x4−10x2+25x ^ { 4 } - 10 x ^ { 2 } + 25x4−10x2+25

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