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Write the Partial Fraction Decomposition of the Rational Expression 5x2+7x+4x3+3x2+5x+15\frac { 5 x ^ { 2 } + 7 x + 4 } { x ^ { 3 } + 3 x ^ { 2 } + 5 x + 15 }

Question 95

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 5x2+7x+4x3+3x2+5x+15\frac { 5 x ^ { 2 } + 7 x + 4 } { x ^ { 3 } + 3 x ^ { 2 } + 5 x + 15 }


A) 2x+3+3x+5+2(x+5) 2\frac { 2 } { x + 3 } + \frac { 3 } { x + 5 } + \frac { - 2 } { ( x + 5 ) ^ { 2 } }
B) 2x+5+3x2x2+3\frac { 2 } { x + 5 } + \frac { 3 x - 2 } { x ^ { 2 } + 3 }
C) 2x+3+3x2+5\frac { 2 } { x + 3 } + \frac { 3 } { x ^ { 2 } + 5 }
D) 2x+3+3x2x2+5\frac { 2 } { x + 3 } + \frac { 3 x - 2 } { x ^ { 2 } + 5 }

Correct Answer:

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