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

question 256

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.
- $\frac { 48 - 8 x } { x ^ { 3 } - 8 x ^ { 2 } + 16 x }$

• A) \(\frac { 3 } { x } + \frac { - 3 } { x - 4 } + \frac { 4 } { ( x - 4 ) ^ { 2 } }\)
• B) \(\frac { 3 } { x } + \frac { 4 } { x - 4 } + \frac { - 3 } { ( x - 4 ) ^ { 2 } }\)
• C) \(\frac { 3 } { x } + \frac { - 3 } { x - 4 } + \frac { 8 } { ( x - 4 ) ^ { 2 } }\)
• D) \(\frac { - 3 } { x } + \frac { 3 } { x - 4 } + \frac { 4 } { ( x - 4 ) ^ { 2 } }\)

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Definitions:

Raw Material

Basic substances in their natural, modified, or semi-processed state used to produce goods and services.

Standard Costs

Predetermined costs for materials, labor, and overhead used as a benchmark for measuring performance.

Pounds

A unit of weight commonly used in the British imperial and United States customary systems, equivalent to 0.453592 kilograms.

Materials Quantity Variance

The difference between the actual quantity of materials used in production and the standard quantity expected to be used, valued at the standard cost.