Factor.
-$40 m ^ { 8 } - 12 m ^ { 5 } + 24 m ^ { 2 }$
A) $m ^ { 2 } \left( 40 m ^ { 6 } - 12 m ^ { 3 } + 24 \right)$
B) $4 m ^ { 2 } \left( 10 m ^ { 6 } - 3 m ^ { 3 } + 6 \right)$
C) No common factor
D) $4 \left( 10 m ^ { 8 } - 3 m ^ { 5 } + 6 m ^ { 2 } \right)$

Question

Quizplus · Accepted Answer

The greatest common factor of the coefficients (40, 12, 24) is 4, and the smallest power of $m$ that is a factor of all terms is $m^2$, so the expression can be factored as $4m^2(10m^6 - 3m^3 + 6)$.

Factor - 40m8−12m5+24m240 m ^ { 8 } - 12 m ^ { 5 } + 24 m ^ { 2 }40m8−12m5+24m2

Factor
- $40 m ^ { 8 } - 12 m ^ { 5 } + 24 m ^ { 2 }$