Completely factor the polynomial or state that the polynomial is prime.
-$$x ^ { 4 } + 14 x ^ { 2 } + 49$$
A) $\left( x ^ { 2 } + 7 \right) ^ { 2 }$
B) $\left( x ^ { 2 } - 7 \right) ^ { 2 }$
C) $( x + 7 ) ^ { 2 }$
D) $( x + 7 ) ( x - 7 )$

Question

Quizplus · Accepted Answer

The polynomial $x^4 + 14x^2 + 49$ can be seen as a perfect square trinomial, factoring into $\left( x^2 + 7 \right)^2$, since $(x^2)^2 + 2 \cdot 7 \cdot x^2 + 7^2$ matches the given polynomial.

Completely Factor the Polynomial or State That the Polynomial Is x4+14x2+49x ^ { 4 } + 14 x ^ { 2 } + 49x4+14x2+49

Completely Factor the Polynomial or State That the Polynomial Is $x ^ { 4 } + 14 x ^ { 2 } + 49$