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Find the Partial Fraction Decomposition 2x35x28x15x4+6x2+9\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.
- 2x35x28x15x4+6x2+9\frac { - 2 x ^ { 3 } - 5 x ^ { 2 } - 8 x - 15 } { x ^ { 4 } + 6 x ^ { 2 } + 9 }


A) 2xx2+3+2x5(x2+3) 2\frac { - 2 x } { x ^ { 2 } + 3 } + \frac { - 2 x - 5 } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }
B) 2x+3+5x3+2xx2+3\frac { - 2 } { x + 3 } + \frac { - 5 } { x - 3 } + \frac { - 2 x } { x ^ { 2 } + 3 }
C) 2x5x23+2xx2+3\frac { - 2 x - 5 } { x ^ { 2 } - 3 } + \frac { - 2 x } { x ^ { 2 } + 3 }
D) 2x5x2+3+2x(x2+3) 2\frac { - 2 x - 5 } { x ^ { 2 } + 3 } + \frac { - 2 x } { \left( x ^ { 2 } + 3 \right) ^ { 2 } }

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