Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 5 } { x ^ { 2 } + 10 x + 16 }$$

question 42

Multiple Choice

Write the partial fraction decomposition of the rational expression.
$$\frac { 5 } { x ^ { 2 } + 10 x + 16 }$$

• A) \(\frac { 5 } { 6 } \left( \frac { 1 } { x - 2 } - \frac { 1 } { x - 8 } \right)\)
• B) \(\frac { 5 } { 6 } \left( \frac { 1 } { x + 2 } - \frac { 1 } { x + 8 } \right)\)
• C) \(\frac { 5 } { 6 } \left( \frac { 1 } { x + 8 } - \frac { 1 } { x + 2 } \right)\)
• D) \(\frac { 5 } { x ^ { 2 } } + \frac { 1 } { 2 x } + \frac { 5 } { 16 }\)
• E) \(\frac { 5 } { x ^ { 2 } + 10 x + 16 }\)

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