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Find the Partial Fraction Decomposition for the Rational Expression 22x2105x+132(x4)(2x4)2\frac { 22 x ^ { 2 } - 105 x + 132 } { ( x - 4 ) ( 2 x - 4 ) ^ { 2 } }

Question 161

Multiple Choice

Find the partial fraction decomposition for the rational expression.
22x2105x+132(x4) (2x4) 2\frac { 22 x ^ { 2 } - 105 x + 132 } { ( x - 4 ) ( 2 x - 4 ) ^ { 2 } }


A) 5(2x4) 2+32x4+4x4\frac { 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 3 } { 2 x - 4 } + \frac { - 4 } { x - 4 }
B) 32x4+5(2x4) 2+4x4\frac { 3 } { 2 x - 4 } + \frac { - 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 4 } { x - 4 }
C) 4(2x4) 2+32x4+5x4\frac { - 4 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 3 } { 2 x - 4 } + \frac { 5 } { x - 4 }
D) 5(2x4) 2+32x4+4x4\frac { - 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 3 } { 2 x - 4 } + \frac { 4 } { x - 4 }

Correct Answer:

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