Write the Form of the Partial Fraction Decomposition of the Rational

question 159

Multiple Choice

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

• A) \(\frac { \mathrm { A } } { \mathrm { x } + 5 } + \frac { \mathrm { Bx } + \mathrm { C } } { ( \mathrm { x } + 5 ) ^ { 2 } }\)
• B) \(\frac { \mathrm { A } } { \mathrm { x } + 5 } + \frac { \mathrm { B } } { \mathrm { x } + 5 } + \frac { \mathrm { Cx } + \mathrm { D } } { ( \mathrm { x } + 5 ) ^ { 2 } }\)
• C) \(\frac { A } { x + 5 } + \frac { B } { ( x + 5 ) ^ { 2 } }\)
• D) \(\frac { A } { x + 5 } + \frac { B } { x + 5 } + \frac { C } { ( x + 5 ) ^ { 2 } }\)

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Definitions:

Multiple Solutions

Situations where more than one answer or approach can satisfy the conditions of a problem.

MIRR

Modified Internal Rate of Return, a financial measure used to evaluate the attractiveness of investments, taking into account the cost of capital and the reinvestment rate.

Cost of Capital

A minimum profit rate a business has to achieve on its ventures to sustain its market price and appeal to investors.

MIRR

Modified Internal Rate of Return, a financial measure used to evaluate the profitability of investments, adjusting for differences in cash flow timing and reinvestment rates.