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Find the Partial Fraction Decomposition for the Rational Expression 26x2−139x+189(x−5)(2x−4)2\frac { 26 x ^ { 2 } - 139 x + 189 } { ( x - 5 ) ( 2 x - 4 ) ^ { 2 } }

Question 347

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 26x2−139x+189(x−5) (2x−4) 2\frac { 26 x ^ { 2 } - 139 x + 189 } { ( x - 5 ) ( 2 x - 4 ) ^ { 2 } }


A) −5(2x−4) 2+52x−4+4x−5\frac { - 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 5 } { 2 x - 4 } + \frac { 4 } { x - 5 }

B) 5(2x−4) 2+52x−4+−4x−5\frac { 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 5 } { 2 x - 4 } + \frac { - 4 } { x - 5 }

C) −4(2x−4) 2+52x−4+5x−5\frac { - 4 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 5 } { 2 x - 4 } + \frac { 5 } { x - 5 }

D) 52x−4+−5(2x−4) 2+4x−5\frac { 5 } { 2 x - 4 } + \frac { - 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 4 } { x - 5 }

Correct Answer:

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