Factor out the largest possible common factor.
-$42 m ^ { 6 } - 12 m ^ { 4 } - 30 m ^ { 2 }$
A) $6 m ^ { 2 } \left( 7 m ^ { 4 } - 2 m ^ { 2 } - 5 \right)$
B) $- m ^ { 2 } \left( - 42 m ^ { 4 } - 12 m ^ { 2 } + 30 \right)$
C) $m ^ { 2 } \left( 42 m ^ { 4 } - 12 m ^ { 2 } - 30 \right)$
D) $6 \left( 7 m ^ { 6 } - 2 m ^ { 4 } - 5 m ^ { 2 } \right)$

Question

Quizplus · Accepted Answer

The largest common factor among the coefficients 42, 12, and 30 is 6, and the smallest power of $m$ that is a factor of all terms is $m^2$, making $6m^2$ the largest possible common factor to be factored out.

Factor Out the Largest Possible Common Factor 42m6−12m4−30m242 m ^ { 6 } - 12 m ^ { 4 } - 30 m ^ { 2 }42m6−12m4−30m2

Factor Out the Largest Possible Common Factor $42 m ^ { 6 } - 12 m ^ { 4 } - 30 m ^ { 2 }$