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Write the Partial Fraction Decomposition of the Rational Expression 7511xx310x2+25x\frac { 75 - 11 x } { x ^ { 3 } - 10 x ^ { 2 } + 25 x }

Question 112

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 7511xx310x2+25x\frac { 75 - 11 x } { x ^ { 3 } - 10 x ^ { 2 } + 25 x }


A) 3x+3x5+4(x5) 2\frac { - 3 } { x } + \frac { 3 } { x - 5 } + \frac { 4 } { ( x - 5 ) ^ { 2 } }
B) 3x+3x5+8(x5) 2\frac { 3 } { x } + \frac { - 3 } { x - 5 } + \frac { 8 } { ( x - 5 ) ^ { 2 } }
C) 3x+4x5+3(x5) 2\frac { 3 } { x } + \frac { 4 } { x - 5 } + \frac { - 3 } { ( x - 5 ) ^ { 2 } }
D) 3x+3x5+4(x5) 2\frac { 3 } { x } + \frac { - 3 } { x - 5 } + \frac { 4 } { ( x - 5 ) ^ { 2 } }

Correct Answer:

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