Factor.
-$\mathrm{p}^{4}-11 \mathrm{p}^{2}+24$
A) $\left(p^{2}-3\right)\left(p^{2}-8\right)$
B) $p^{2}(p-3)(p-8)$
C) $\left(\mathrm{p}^{2}-3\right)\left(\mathrm{p}^{2}+8\right)$
D) $\left(p^{2}-24\right)\left(p^{2}-1\right)$

Question

Quizplus · Accepted Answer

The expression $\mathrm{p}^{4}-11 \mathrm{p}^{2}+24$ is a quadratic in form, where $p^2$ is treated as the variable. Factoring it as such, we look for two numbers that multiply to 24 and add to -11, which are -3 and -8. Therefore, the factored form is $\left(p^{2}-3\right)\left(p^{2}-8\right)$.