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Decompose P/Q, Where Q Has a Nonrepeated Prime Quadratic Factor 5x2+7x+11x3+4x2+5x+20\frac { 5 x ^ { 2 } + 7 x + 11 } { x ^ { 3 } + 4 x ^ { 2 } + 5 x + 20 }

Question 48

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.
- 5x2+7x+11x3+4x2+5x+20\frac { 5 x ^ { 2 } + 7 x + 11 } { x ^ { 3 } + 4 x ^ { 2 } + 5 x + 20 }


A) 3x+4+2x1x2+5\frac { 3 } { x + 4 } + \frac { 2 x - 1 } { x ^ { 2 } + 5 }
B) 3x+4+2x2+5\frac { 3 } { x + 4 } + \frac { 2 } { x ^ { 2 } + 5 }
C) 3x+5+2x1x2+4\frac { 3 } { x + 5 } + \frac { 2 x - 1 } { x ^ { 2 } + 4 }
D) 3x+4+2x+5+1(x+5) 2\frac { 3 } { x + 4 } + \frac { 2 } { x + 5 } + \frac { - 1 } { ( x + 5 ) ^ { 2 } }

Correct Answer:

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