Write the Partial Fraction Decomposition of the Rational Expression $$\frac { - 3 x ^ { 2 } - 13 x - 12 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

question 38

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { - 3 x ^ { 2 } - 13 x - 12 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }$$

• A) \(\frac { 2 } { x + 2 } + \frac { 5 } { x + 1 } + \frac { - 2 } { ( x + 1 ) ^ { 2 } }\)
• B) \(\frac { - 2 } { x + 2 } + \frac { - 5 } { x + 1 } + \frac { 2 } { ( x + 1 ) ^ { 2 } }\)
• C) \(\frac { - 2 } { x + 2 } + \frac { - 5 } { x + 1 } + \frac { - 2 } { ( x + 1 ) ^ { 2 } }\)
• D) \(\frac { 2 } { x + 2 } + \frac { - 5 } { x + 1 } + \frac { - 2 } { ( x + 1 ) ^ { 2 } }\)

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