Find the Partial Fraction Decomposition for the Rational Expression $$\frac { 12 x ^ { 2 } - 23 x + 5 } { ( x - 3 ) \left( x ^ { 2 } + 2 \right) }$$

question 6

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- $$\frac { 12 x ^ { 2 } - 23 x + 5 } { ( x - 3 ) \left( x ^ { 2 } + 2 \right) }$$

• A) \(\frac { - ( 8 x + 1 ) } { x ^ { 2 } + 2 } + \frac { 4 } { x - 3 }\)
• B) \(\frac { 8 x + 1 } { x ^ { 2 } + 2 } + \frac { 4 } { x - 3 }\)
• C) \(\frac { 8 x + 4 } { x ^ { 2 } + 2 } + \frac { 1 } { x - 3 }\)
• D) \(\frac { 8 x - 1 } { x ^ { 2 } + 2 } + \frac { - 4 } { x - 3 }\)

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