Find the Partial Fraction Decomposition $\frac { - 2 x ^ { 3 } - 5 x ^ { 2 } - 8 x - 15 } { x ^ { 4 } + 6 x ^ { 2 } + 9 }$

question 65

Multiple Choice

Find the partial fraction decomposition.
- $\frac { - 2 x ^ { 3 } - 5 x ^ { 2 } - 8 x - 15 } { x ^ { 4 } + 6 x ^ { 2 } + 9 }$

• A) \(\frac { - 2 x } { x ^ { 2 } + 3 } + \frac { - 2 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)
• B) \(\frac { - 2 } { x + 3 } + \frac { - 5 } { x - 3 } + \frac { - 2 x } { x ^ { 2 } + 3 }\)
• C) \(\frac { - 2 x - 5 } { x ^ { 2 } - 3 } + \frac { - 2 x } { x ^ { 2 } + 3 }\)
• D) \(\frac { - 2 x - 5 } { x ^ { 2 } + 3 } + \frac { - 2 x } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }\)

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