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Find the Partial Fraction Decomposition 4x233x54x3+6x2+9x\frac { - 4 x ^ { 2 } - 33 x - 54 } { x ^ { 3 } + 6 x ^ { 2 } + 9 x }

Question 177

Multiple Choice

Find the partial fraction decomposition.
- 4x233x54x3+6x2+9x\frac { - 4 x ^ { 2 } - 33 x - 54 } { x ^ { 3 } + 6 x ^ { 2 } + 9 x }


A) 6x+3(x+3) 2\frac { - 6 } { x } + \frac { - 3 } { ( x + 3 ) ^ { 2 } }
B) 6x+2x+3+3x(x+3) 2\frac { - 6 } { x } + \frac { 2 } { x + 3 } + \frac { - 3 x } { ( x + 3 ) ^ { 2 } }
C) 6x+2x3(x+3) 2\frac { - 6 } { x } + \frac { 2 x - 3 } { ( x + 3 ) ^ { 2 } }
D) 6x+2x+3+3(x+3) 2\frac { - 6 } { x } + \frac { 2 } { x + 3 } + \frac { - 3 } { ( x + 3 ) ^ { 2 } }

Correct Answer:

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