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Find the Partial Fraction Decomposition for the Rational Expression 2x37x2+5x3x2+x2\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }

Question 409

Multiple Choice

Find the partial fraction decomposition for the rational expression.
2x37x2+5x3x2+x2\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }


A) 2x9+19x+21x12 x - 9 + \frac { 19 } { x + 2 } - \frac { - 1 } { x - 1 }
B) 2x+9+13x+2+7x12 x + 9 + \frac { - 13 } { x + 2 } + \frac { 7 } { x - 1 }
C) 2x+5+7/3x+2+13/3x12 x + 5 + \frac { - 7 / 3 } { x + 2 } + \frac { 13 / 3 } { x - 1 }
D) 2x9+5/3x+2+1/3x12 x - 9 + \frac { - 5 / 3 } { x + 2 } + \frac { 1 / 3 } { x - 1 }

Correct Answer:

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