Find the Partial Fraction Decomposition for the Rational Expression $$\frac { x ^ { 2 } } { x ^ { 2 } + 6 x + 9 }$$

question 36

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { x ^ { 2 } } { x ^ { 2 } + 6 x + 9 }$$

• A) \(\frac { 6 } { x + 3 } + \frac { - 6 } { ( x + 3 ) ^ { 2 } }\)
• B) \(\frac { - 6 } { x + 3 } + \frac { 9 } { ( x + 3 ) ^ { 2 } }\)
• C) \(1 + \frac { 6 } { x + 3 } + \frac { - 9 } { ( x + 31 ) ^ { 2 } }\)
• D) \(1 + \frac { - 6 } { x + 3 } + \frac { 9 } { ( x + 3 ) ^ { 2 } }\)

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NPV

Net Present Value, a calculation used to assess the profitability of an investment by summing the present values of all expected future cash flows minus the initial investment cost.

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The point at which total revenues equal total expenses, indicating no profit or loss from operations.