Solve the following polynomial equation by factoring and using the zero factor property. $x ^ { 4 } - 81 x ^ { 2 } = 0$
A) $0 , \pm 9$
B) $\pm 9 , \pm 81$
C) $0,81$
D) $0,9,81$
E) $\pm 9$

Question

Quizplus · Accepted Answer

This equation can be factored as $x^2(x^2 - 81) = 0$, which further factors into $x^2(x + 9)(x - 9) = 0$. Using the zero factor property, the solutions are $x = 0$, $x = 9$, and $x = -9$.

Solve the Following Polynomial Equation by Factoring and Using the Zero