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:

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Clings

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A heightened state of distress or agitation often resulting from difficult or emotional experiences.

Temperament

The natural predisposition of an individual to exhibit a particular mood or behavioral style.