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Write the Partial Fraction Decomposition of the Rational Expression 3x213x12(x+2)(x+1)2\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.
- 3x213x12(x+2) (x+1) 2\frac { - 3 x ^ { 2 } - 13 x - 12 } { ( x + 2 ) ( x + 1 ) ^ { 2 } }


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

Correct Answer:

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