Factor Completely $$\left( 8 - x ^ { 2 } \right) ^ { 1 / 2 } + x \cdot \frac { 1 } { 8 } \left( 8 - x ^ { 2 } \right) ^ { - 1 / 2 } ( - 8 x )$$

question 54

Multiple Choice

Factor completely.
- $$\left( 8 - x ^ { 2 } \right) ^ { 1 / 2 } + x \cdot \frac { 1 } { 8 } \left( 8 - x ^ { 2 } \right) ^ { - 1 / 2 } ( - 8 x )$$

• A) \(- \frac { x ^ { 2 } } { \left( 8 - x ^ { 2 } \right) ^ { 1 / 2 } }\)
• B) \(\frac { 2 \left( x ^ { 2 } - 4 \right) } { \left( 8 - x ^ { 2 } \right) ^ { 1 / 2 } }\)
• C) \(\frac { x ^ { 2 } } { \left( 8 - x ^ { 2 } \right) ^ { 1 / 2 } }\)
• D) \(- \frac { 2 ( x - 2 ) ( x + 2 ) } { \left( 8 - x ^ { 2 } \right) ^ { 1 / 2 } }\)

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Definitions:

Control Charts

Graphic presentations of process data over time, with predetermined control limits.

Standard Deviations

A statistical measure that quantifies the amount of variation or dispersion of a set of data values.

Upper Control Limit

A statistical measure in quality control, representing the highest acceptable value for a process variable to stay within controlled and expected limits.

P-chart

A type of control chart used in statistical quality control to monitor the proportion of defective items in a process over time.