Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 3 x ^ { 4 } - 3 x ^ { 3 } + 5 x ^ { 2 } + 12 x + 13 } { ( x + 2 ) ( x - 1 ) ^ { 4 } }$$

question 336

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 3 x ^ { 4 } - 3 x ^ { 3 } + 5 x ^ { 2 } + 12 x + 13 } { ( x + 2 ) ( x - 1 ) ^ { 4 } }$$

• A) \(\frac { - 1 } { x + 2 } + \frac { 5 } { x - 1 } + \frac { 2 } { ( x - 1 ) ^ { 2 } } + \frac { 17 } { ( x - 1 ) ^ { 3 } } + \frac { 12 } { ( x - 1 ) ^ { 4 } }\)
• B) \(\frac { 3 } { x + 2 } + \frac { 1 } { x - 1 } + \frac { 6 } { ( x - 1 ) ^ { 2 } } + \frac { 2 } { ( x - 1 ) ^ { 3 } } + \frac { 1 } { ( x - 1 ) ^ { 4 } }\)
• C) \(\frac { 1 } { x + 2 } + \frac { 2 } { x - 1 } + \frac { 3 } { ( x - 1 ) ^ { 2 } } + \frac { 5 } { ( x - 1 ) ^ { 3 } } + \frac { 10 } { ( x - 1 ) ^ { 4 } }\)
• D) \(\frac { 5 } { x + 2 } + \frac { 7 } { x - 1 } + \frac { - 2 } { ( x - 1 ) ^ { 2 } } + \frac { 4 } { ( x - 1 ) ^ { 3 } } + \frac { 3 } { ( x - 1 ) ^ { 4 } }\)

Explain the concept and importance of legal capital.

Understand the procedures and practices concerning closing entries and retained earnings.

Recognize the limitations of financial liability for stockholders.

Distinguish between the different classifications of stock and stock transactions.

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