Factor.
-$\mathrm{p}^{4}-15 \mathrm{p}^{2}+56$
A) $\left(p^{2}-7\right)\left(p^{2}+8\right)$
B) $\left(p^{2}-7\right)\left(p^{2}-8\right)$
C) $\left(p^{2}-56\right)\left(p^{2}-1\right)$
D) $p^{2}(p-7)(p-8)$

Question

Quizplus · Accepted Answer

The correct factorization of $p^4 - 15p^2 + 56$ is found by looking for two numbers that multiply to 56 and add to -15. These numbers are -7 and -8. Therefore, the factorization is $(p^2 - 7)(p^2 - 8)$, which corresponds to option B.