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

Question

Quizplus · Accepted Answer

We can notice that the given expression can be written as the difference of squares of two binomials:
$$
p^4 - 11p^2 +24 = (p^2)^2 - 11(p^2) + 24 = (p^2 - 8)(p^2 - 3)
$$
Option C matches this factorization, so it is the best choice.

Factor - p4−11p2+24p ^ { 4 } - 11 p ^ { 2 } + 24p4−11p2+24

Factor
- $p ^ { 4 } - 11 p ^ { 2 } + 24$