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Write the Partial Fraction Decomposition of the Rational Expression 8x+1x31\frac { 8 x + 1 } { x ^ { 3 } - 1 }

Question 1

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 8x+1x31\frac { 8 x + 1 } { x ^ { 3 } - 1 }


A) 3x1+3x+2x2+x+1\frac { 3 } { x - 1 } + \frac { - 3 x + 2 } { x ^ { 2 } + x + 1 }
B) 3x1+3x+1+2x1\frac { 3 } { x - 1 } + \frac { - 3 } { x + 1 } + \frac { 2 } { x - 1 }
C) 3x1+3x+2x2+x+1\frac { - 3 } { x - 1 } + \frac { 3 x + 2 } { x ^ { 2 } + x + 1 }
D) 3x1+2x3x2+x+1\frac { 3 } { x - 1 } + \frac { 2 x - 3 } { x ^ { 2 } + x + 1 }

Correct Answer:

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