Factor, using the given factor. Assume all variables represent positive real numbers.
-$8 m ^ { 3 / 4 } - 3 m - 1 / 2 ; \quad m ^ { - 1 / 2 }$
A) $3 m ^ { - 1 / 4 } \left( 8 m ^ { 5 / 4 } - 1 \right)$
B) $m ^ { - 1 / 2 } \left( 8 m ^ { 3 / 4 } + 3 \right)$
C) $m ^ { - 1 / 2 } \left( 8 m ^ { 5 / 4 } - 3 \right)$
D) $m - 1 / 2 \left( 24 m ^ { 5 / 4 } - 8 \right)$

Question

Quizplus · Accepted Answer

Factoring $m^{-1/2}$ from $8m^{3/4} - 3m - 1/2$ gives $m^{-1/2}(8m^{3/4 + 1/2} - 3m^{1} - 1/2m^{1/2})$, simplifying to $m^{-1/2}(8m^{5/4} - 3)$.

Factor, Using the Given Factor 8m3/4−3m−1/2;m−1/28 m ^ { 3 / 4 } - 3 m - 1 / 2 ; \quad m ^ { - 1 / 2 }8m3/4−3m−1/2;m−1/2

Factor, Using the Given Factor $8 m ^ { 3 / 4 } - 3 m - 1 / 2 ; \quad m ^ { - 1 / 2 }$