Write the Partial Fraction Decomposition of the Improper Rational Expression $\frac { x ^ { 3 } - 2 x ^ { 2 } - 14 x + 48 } { x ^ { 2 } + x - 20 }$

question 38

Multiple Choice

Write the partial fraction decomposition of the improper rational expression. $\frac { x ^ { 3 } - 2 x ^ { 2 } - 14 x + 48 } { x ^ { 2 } + x - 20 }$

• A) \(\frac { 1 } { 3 } \left( \frac { 8 } { x - 4 } + \frac { 19 } { x + 5 } \right)\)
• B) \(x - 3 + \frac { 1 } { 3 } \left( \frac { 8 } { x - 4 } - \frac { 19 } { x + 5 } \right)\)
• C)​ \(x - 3 + \frac { 1 } { 3 } \left( \frac { 8 } { x - 4 } + \frac { 19 } { x + 5 } \right)\)
• D) \(x - 3 + \frac { 1 } { 3 } \left( \frac { 16 } { x + 4 } + \frac { 19 } { x - 5 } \right)\)
• E) \(x - 3 - \frac { 1 } { 3 } \left( \frac { 16 } { x - 4 } - \frac { 19 } { x - 5 } \right)\)

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