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

question 136

Multiple Choice

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) \(m - 1 / 2 \left( 24 m ^ { 5 / 4 } - 8 \right)\)

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Definitions:

Perpetual Life

The concept that an entity, usually a corporation, continues to exist indefinitely until it is legally dissolved, regardless of changes in ownership or management.

Limited Liability

A legal structure where a company's owners are protected from losing more money than they have invested in the company.

Interest Rate

The interest rate is the proportion of a loan that is charged as interest to the borrower, typically expressed as an annual percentage of the loan outstanding.

Capacity Utilization

A metric used to measure the rate at which potential output levels are being met or used in the production process.