Write the Partial Fraction Decomposition of the Rational Expression $\frac { 9 } { x ^ { 2 } + 16 x + 63 }$

question 300

Multiple Choice

Write the partial fraction decomposition of the rational expression. $\frac { 9 } { x ^ { 2 } + 16 x + 63 }$

• A) \(\frac { 9 } { 2 } \left( \frac { 1 } { x + 9 } - \frac { 1 } { x + 7 } \right)\)
• B) \(\frac { 9 } { x ^ { 2 } + 16 x + 63 }\)
• C) \(\frac { 9 } { x ^ { 2 } } + \frac { 9 } { 16 x } + \frac { 1 } { 7 }\)
• D) \(\frac { 9 } { 2 } \left( \frac { 1 } { x - 7 } - \frac { 1 } { x - 9 } \right)\)
• E) \(\frac { 9 } { 2 } \left( \frac { 1 } { x + 7 } - \frac { 1 } { x + 9 } \right)\)

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