Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 7 x ^ { 2 } - 7 x + 3 } { ( x - 1 ) ^ { 3 } }$$

question 9

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 7 x ^ { 2 } - 7 x + 3 } { ( x - 1 ) ^ { 3 } }$$

• A) \(\frac { 7 } { x - 1 } - \frac { 7 } { ( x - 1 ) ^ { 2 } } + \frac { 3 } { ( x - 1 ) ^ { 3 } }\)
• B) \(\frac { 7 } { x - 1 } + \frac { x + 7 } { ( x - 1 ) ^ { 2 } } + \frac { x ^ { 2 } + 3 } { ( x - 1 ) ^ { 3 } }\)
• C) \(\frac { 7 } { x - 1 } + \frac { 7 } { ( x - 1 ) ^ { 2 } }\)
• D) \(\frac { 7 } { x - 1 } + \frac { 7 } { ( x - 1 ) ^ { 2 } } + \frac { 3 } { ( x - 1 ) ^ { 3 } }\)

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Definitions:

Floating-Rate

An interest rate that fluctuates in response to market conditions or an index.

Currency Swap

Involves an agreement to exchange principal and interest in one currency for the same in another currency.

Foreign Currency Approach

A method used in global finance and investment analysis that involves evaluating investments or financial statements in a foreign currency.

Net Present Value

The difference between the present value of cash inflows and the present value of cash outflows over a period of time, used to evaluate the profitability of an investment.