Decompose P/Q, Where Q Has Repeated Linear Factors
Write the Form

question 11

Multiple Choice

Decompose P/Q, Where Q Has Repeated Linear Factors
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 9 x ^ { 2 } - 9 x + 6 } { ( x - 1 ) ^ { 3 } }$$

• A) \(\frac { 9 } { x - 1 } + \frac { 9 } { ( x - 1 ) ^ { 2 } } + \frac { 6 } { ( x - 1 ) ^ { 3 } }\)
• B) \(\frac { 9 } { x - 1 } + \frac { 9 } { ( x - 1 ) ^ { 2 } }\)
• C) \(\frac { 9 } { x - 1 } + \frac { x + 9 } { ( x - 1 ) ^ { 2 } } + \frac { x ^ { 2 } + 6 } { ( x - 1 ) ^ { 3 } }\)
• D) \(\frac { 9 } { x - 1 } - \frac { 9 } { ( x - 1 ) ^ { 2 } } + \frac { 6 } { ( x - 1 ) ^ { 3 } }\)

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Definitions:

Errors

Differences between observed values and the true values in data collection, analysis, or estimation.

Defects

Imperfections or faults in a product or process that deviate from desired specifications or standards.

Population

The entire pool from which a statistical sample is drawn, often referring to a total set of observations that can be analyzed.

Sample

A subset of individuals, items, or data taken from a larger population, utilized for the purpose of analysis and inference.