Write the Partial Fraction Decomposition of the Rational Expression $\frac { x ^ { 2 } } { x ^ { 4 } - 23 x ^ { 2 } - 50 }$

question 24

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { x ^ { 2 } } { x ^ { 4 } - 23 x ^ { 2 } - 50 }$

• A)​ \(\frac { 1 } { x ^ { 2 } } - \frac { 1 } { 6 } - \frac { x ^ { 2 } } { 10 }\)
• B) \(\frac { 1 } { 27 } \left( \frac { 2 } { x ^ { 2 } + 2 } + \frac { 5 } { 2 ( x - 5 ) } - \frac { 5 } { 2 ( x + 5 ) } \right)\)
• C) \(\frac { 1 } { 27 } \left( \frac { 2 } { x ^ { 2 } + 2 } + \frac { 5 ( x + 2 ) } { 2 ( x - 5 ) } + \frac { 5 } { 2 ( x - 5 ) } \right)\)
• D) \(\frac { 1 } { 27 } \left( \frac { 2 } { x ^ { 2 } + 2 } - \frac { 5 } { 2 ( x - 5 ) } + \frac { 5 } { 2 ( x + 5 ) } \right)\)
• E) \(\frac { 1 } { 27 } \left( \frac { 2 } { x ^ { 2 } + 2 } + \frac { 5 } { 2 ( x - 5 ) } - \frac { 5 } { 2 ( x + 5 ) } \right)\)

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