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

question 95

Multiple Choice

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

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

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