Decompose P/Q, Where Q Has a Nonrepeated Prime Quadratic Factor $$\frac { 7 x ^ { 2 } + 13 x - 10 } { ( x + 6 ) \left( x ^ { 2 } + 5 \right) }$$

question 46

Multiple Choice

Decompose P/Q, Where Q Has a Nonrepeated Prime Quadratic Factor
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 7 x ^ { 2 } + 13 x - 10 } { ( x + 6 ) \left( x ^ { 2 } + 5 \right) }$$

• A) \(\frac { 4 } { x + 6 } + \frac { 3 x - 5 } { x ^ { 2 } + 5 }\)
• B) \(\frac { 4 } { x + 6 } + \frac { 3 } { x ^ { 2 } + 5 }\)
• C) \(\frac { 4 } { x + 6 } + \frac { 3 x + 5 } { x ^ { 2 } + 5 }\)
• D) \(\frac { 4 } { x + 6 } + \frac { 3 } { x + 5 } + \frac { - 5 } { ( x + 5 ) ^ { 2 } }\)

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