Find the Partial Fraction Decomposition $$\frac { 11 x ^ { 2 } + 19 x - 7 } { x ^ { 3 } + 2 x ^ { 2 } - 15 x - 36 }$$

question 54

Multiple Choice

Find the partial fraction decomposition. (Hint: Use the rational zero theorem to factor the denominator.)
- $$\frac { 11 x ^ { 2 } + 19 x - 7 } { x ^ { 3 } + 2 x ^ { 2 } - 15 x - 36 }$$

• A) \(\frac { 6 } { x + 3 } + \frac { - 5 } { ( x + 3 ) ^ { 2 } } + \frac { 5 } { x - 4 }\)
• B) \(\frac { - 5 } { x + 3 } + \frac { 6 } { ( x + 3 ) ^ { 2 } } + \frac { - 5 } { x - 4 }\)
• C) \(\frac { - 5 x + 6 } { ( x + 3 ) ^ { 2 } } + \frac { - 5 } { x - 4 }\)
• D) \(\frac { 6 x - 5 } { ( x + 3 ) ^ { 2 } } + \frac { 5 } { x - 4 }\)

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