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Write the Partial Fraction Decomposition of the Rational Expression 275xx(x3)2\frac { 27 - 5 x } { x ( x - 3 ) ^ { 2 } }

Question 1

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 275xx(x3) 2\frac { 27 - 5 x } { x ( x - 3 ) ^ { 2 } }


A) 3x+4x3+3(x3) 2\frac { 3 } { x } + \frac { 4 } { x - 3 } + \frac { - 3 } { ( x - 3 ) ^ { 2 } }
B) 3x+3x3+4(x3) 2\frac { 3 } { x } + \frac { - 3 } { x - 3 } + \frac { 4 } { ( x - 3 ) ^ { 2 } }
C) 3x+3x3+4(x3) 2\frac { - 3 } { x } + \frac { 3 } { x - 3 } + \frac { 4 } { ( x - 3 ) ^ { 2 } }
D) 3x+3x3+8(x3) 2\frac { 3 } { x } + \frac { - 3 } { x - 3 } + \frac { 8 } { ( x - 3 ) ^ { 2 } }

Correct Answer:

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