Find the Partial Fraction Decomposition for the Rational Expression $\frac { 4 x ^ { 3 } + 8 x ^ { 2 } - 6 x + 2 } { 2 x ^ { 2 } - x - 1 }$

question 274

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { 4 x ^ { 3 } + 8 x ^ { 2 } - 6 x + 2 } { 2 x ^ { 2 } - x - 1 }$

• A) \(2 x - 5 + \frac { - 13 } { 2 x + 1 } + \frac { 7 } { x - 1 }\)
• B) \(2 x - 5 + \frac { - 5 } { 6 x + 3 } + \frac { 1 } { 3 x - 3 }\)
• C) \(2 x + 5 + \frac { - 7 } { 6 x + 3 } + \frac { 13 } { 3 x - 3 }\)
• D) \(2 x + 5 + \frac { - 13 } { 6 x + 3 } + \frac { 8 } { 3 x - 3 }\)

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