Write the Partial Fraction Decomposition of the Rational Expression $$\frac { x + 1 } { ( x - 2 ) ^ { 2 } ( x + 4 ) }$$

question 147

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { x + 1 } { ( x - 2 ) ^ { 2 } ( x + 4 ) }$$

• A) \(\frac { 12 } { x - 2 } + \frac { 2 } { ( x - 2 ) ^ { 2 } } + \frac { - 12 } { x + 4 }\)
• B) \(\frac { \frac { 1 } { 2 } } { ( x - 2 ) ^ { 2 } } + \frac { - \frac { 1 } { 12 } } { x + 4 }\)
• C) \(\frac { \frac { 1 } { 12 } } { x - 2 } + \frac { \frac { 1 } { 2 } } { ( x - 2 ) ^ { 2 } } + \frac { - \frac { 1 } { 12 } } { x + 4 }\)
• D) \(\frac { - 1 } { x - 2 } + \frac { \frac { 1 } { 4 } x } { ( x - 2 ) ^ { 2 } } + \frac { - \frac { 1 } { 4 } } { x + 4 }\)

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