Write the Partial Fraction Decomposition of the Improper Rational Expression $$\frac { x ^ { 3 } - 4 x ^ { 2 } + 3 x + 2 } { x ^ { 2 } + x - 2 }$$

question 78

Multiple Choice

Write the partial fraction decomposition of the improper rational expression.
$$\frac { x ^ { 3 } - 4 x ^ { 2 } + 3 x + 2 } { x ^ { 2 } + x - 2 }$$

• A) \(x - 5 + \frac { 1 } { 3 } \left( \frac { 2 } { x - 1 } + \frac { 28 } { x + 2 } \right)\)
• B) \(x - 5 + \frac { 1 } { 3 } \left( \frac { 18 } { x - 1 } + \frac { 28 } { x + 2 } \right)\)
• C) \(x - 5 + \frac { 1 } { 3 } \left( \frac { 18 } { x + 1 } + \frac { 28 } { x - 2 } \right)\)
• D) \(x - 5 + \frac { 1 } { 3 } \left( \frac { 2 } { x - 1 } - \frac { 28 } { x + 2 } \right)\)
• E) \(\frac { 1 } { 3 } \left( \frac { 2 } { x - 1 } + \frac { 28 } { x + 2 } \right)\)

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