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

question 347

Multiple Choice

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

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

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