Factor the Denominator of the Given Rational Expression, and Then $\frac { 1 } { x ^ { 3 } + x ^ { 2 } - 44 x + 96 }$

question 16

Multiple Choice

Factor the denominator of the given rational expression, and then find the partial fraction decomposition. $\frac { 1 } { x ^ { 3 } + x ^ { 2 } - 44 x + 96 }$

• A) \(\frac { \frac { 1 } { 11 } } { x - 3 } + \frac { - \frac { 1 } { 12 } } { x - 4 } + \frac { \frac { 1 } { 132 } } { x + 8 }\)
• B) \(\frac { - \frac { 1 } { 11 } } { x - 3 } + \frac { - \frac { 1 } { 12 } } { x - 4 } + \frac { \frac { 1 } { 132 } } { x + 8 }\)
• C) \(\frac { \frac { 1 } { 11 } } { x - 3 } + \frac { - \frac { 1 } { 12 } } { x - 4 } + \frac { - \frac { 1 } { 132 } } { x + 8 }\)
• D) \(\frac { - \frac { 1 } { 11 } } { x - 3 } + \frac { \frac { 1 } { 12 } } { x - 4 } + \frac { \frac { 1 } { 132 } } { x + 8 }\)
• E) \(\frac { - \frac { 1 } { 11 } } { x - 3 } + \frac { \frac { 1 } { 12 } } { x - 4 } + \frac { - \frac { 1 } { 132 } } { x + 8 }\)

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