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Find the Partial Fraction Decomposition for the Rational Expression 26x288x+76(x2)(2x3)2\frac { 26 x ^ { 2 } - 88 x + 76 } { ( x - 2 ) ( 2 x - 3 ) ^ { 2 } }

Question 314

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 26x288x+76(x2) (2x3) 2\frac { 26 x ^ { 2 } - 88 x + 76 } { ( x - 2 ) ( 2 x - 3 ) ^ { 2 } }


A) 5(2x3) 2+52x3+4x2\frac { 5 } { ( 2 x - 3 ) ^ { 2 } } + \frac { 5 } { 2 x - 3 } + \frac { - 4 } { x - 2 }
B) 5(2x3) 2+52x3+4x2\frac { - 5 } { ( 2 x - 3 ) ^ { 2 } } + \frac { 5 } { 2 x - 3 } + \frac { 4 } { x - 2 }
C) 52x3+5(2x3) 2+4x2\frac { 5 } { 2 x - 3 } + \frac { - 5 } { ( 2 x - 3 ) ^ { 2 } } + \frac { 4 } { x - 2 }
D) 4(2x3) 2+52x3+5x2\frac { - 4 } { ( 2 x - 3 ) ^ { 2 } } + \frac { 5 } { 2 x - 3 } + \frac { 5 } { x - 2 }

Correct Answer:

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