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Write the Partial Fraction Decomposition of the Rational Expression 8x28x+5(x1)3\frac { 8 x ^ { 2 } - 8 x + 5 } { ( x - 1 ) ^ { 3 } }

Question 18

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 8x28x+5(x1) 3\frac { 8 x ^ { 2 } - 8 x + 5 } { ( x - 1 ) ^ { 3 } }


A) 8x1+8(x1) 2+5(x1) 3\frac { 8 } { x - 1 } + \frac { 8 } { ( x - 1 ) ^ { 2 } } + \frac { 5 } { ( x - 1 ) ^ { 3 } }
B) 8x1+x+8(x1) 2+x2+5(x1) 3\frac { 8 } { x - 1 } + \frac { x + 8 } { ( x - 1 ) ^ { 2 } } + \frac { x ^ { 2 } + 5 } { ( x - 1 ) ^ { 3 } }
C) 8x18(x1) 2+5(x1) 3\frac { 8 } { x - 1 } - \frac { 8 } { ( x - 1 ) ^ { 2 } } + \frac { 5 } { ( x - 1 ) ^ { 3 } }
D) 8x1+8(x1) 2\frac { 8 } { x - 1 } + \frac { 8 } { ( x - 1 ) ^ { 2 } }

Correct Answer:

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