Find the Partial Fraction Decomposition for the Rational Expression $\frac { 2 x ^ { 3 } - 3 x ^ { 2 } - 2 x + 27 } { x ^ { 2 } + x - 2 }$

question 392

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $\frac { 2 x ^ { 3 } - 3 x ^ { 2 } - 2 x + 27 } { x ^ { 2 } + x - 2 }$

• A) \(2 x - 5 + \frac { - 1 } { x + 2 } + \frac { 8 } { x - 1 }\)
• B) \(2 x - 9 + \frac { - 13 } { x + 2 } + \frac { 7 } { x - 1 }\)
• C) \(2 x - 5 + \frac { - 7 / 3 } { x + 2 } + \frac { 13 / 3 } { x - 1 }\)
• D) \(2 x - 9 + \frac { - 5 / 3 } { x + 2 } + \frac { 1 / 3 } { x - 1 }\)

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