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Find the Partial Fraction Decomposition for the Rational Expression 2x33x22x+27x2+x2\frac { 2 x ^ { 3 } - 3 x ^ { 2 } - 2 x + 27 } { x ^ { 2 } + x - 2 }

Question 385

Multiple Choice

Find the partial fraction decomposition for the rational expression.
2x33x22x+27x2+x2\frac { 2 x ^ { 3 } - 3 x ^ { 2 } - 2 x + 27 } { x ^ { 2 } + x - 2 }


A) 2x9+5/3x+2+1/3x12 x - 9 + \frac { - 5 / 3 } { x + 2 } + \frac { 1 / 3 } { x - 1 }
B) 2x5+7/3x+2+13/3x12 x - 5 + \frac { - 7 / 3 } { x + 2 } + \frac { 13 / 3 } { x - 1 }
C) 2x9+13x+2+7x12 x - 9 + \frac { - 13 } { x + 2 } + \frac { 7 } { x - 1 }
D) 2x5+1x+2+8x12 x - 5 + \frac { - 1 } { x + 2 } + \frac { 8 } { x - 1 }

Correct Answer:

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