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Find the Partial Fraction Decomposition for the Rational Expression 22x2−105x+132(x−4)(2x−4)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.
22x2−105x+132(x−4) (2x−4) 2\frac { 22 x ^ { 2 } - 105 x + 132 } { ( x - 4 ) ( 2 x - 4 ) ^ { 2 } }


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

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