Write the Form of the Partial Fraction Decomposition of the Rational

question 9

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 5 x - 3 } { ( x - 5 ) \left( x ^ { 2 } + x + 5 \right) }$$

• A) \(\frac { A } { x - 5 } + \frac { B } { x ^ { 2 } + x + 5 } + \frac { C } { ( x - 5 ) \left( x ^ { 2 } + x + 5 \right) }\)
• B) \(\frac { \mathrm { A } } { \mathrm { x } - 5 } + \frac { \mathrm { B } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 5 }\)
• C) \(\frac { A } { x - 5 } + \frac { B x + C } { x ^ { 2 } + x + 5 } + \frac { D } { ( x - 5 ) \left( x ^ { 2 } + x + 5 \right) }\)
• D) \(\frac { A } { x - 5 } + \frac { B x + C } { x ^ { 2 } + x + 5 }\)

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Definitions:

Non-controlling Interest

A minority share of ownership in a subsidiary that is not owned by the parent company, reflected in consolidated financial statements to show the portion of the subsidiary's earnings not attributed to the parent.

Consolidated Equity

The total equity in a consolidated financial statement, combining the parent company's and its subsidiaries' equity.

Parent Interest

Refers to the portion of equity in a subsidiary attributable directly to the parent company, excluding any minority or non-controlling interests.

Fair Value

The price that would be received for selling an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date.