Factor out the GCF from the polynomial.
-$10 m ^ { 9 } + 4 m ^ { 6 } + 4 m ^ { 3 }$
A) $2 \left( 5 m ^ { 9 } + 2 m ^ { 6 } + 2 m ^ { 3 } \right)$
B) $m ^ { 3 } \left( 10 m ^ { 6 } + 4 m ^ { 3 } + 4 \right)$
C) $2 m ^ { 3 } \left( 5 m ^ { 6 } + 2 m ^ { 3 } + 2 \right)$
D) $- 2 m ^ { 3 } \left( 5 m ^ { 6 } - 2 m ^ { 3 } - 2 \right)$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the coefficients 10, 4, and 4 is 2, and the smallest power of $m$ that is a factor of all terms is $m^3$. Therefore, the GCF of the entire polynomial is $2m^3$, making option C correct.

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Factor Out the GCF from the Polynomial $10 m ^ { 9 } + 4 m ^ { 6 } + 4 m ^ { 3 }$