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Write the Partial Fraction Decomposition of the Rational Expression 5x2+9x26x3+5x2+2x+10\frac { 5 x ^ { 2 } + 9 x - 26 } { x ^ { 3 } + 5 x ^ { 2 } + 2 x + 10 }

Question 140

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 5x2+9x26x3+5x2+2x+10\frac { 5 x ^ { 2 } + 9 x - 26 } { x ^ { 3 } + 5 x ^ { 2 } + 2 x + 10 }


A) 2x+5+3x6x2+2\frac { 2 } { x + 5 } + \frac { 3 x - 6 } { x ^ { 2 } + 2 }
B) 2x+5+3x2+2\frac { 2 } { x + 5 } + \frac { 3 } { x ^ { 2 } + 2 }
C) 2x+2+3x6x2+5\frac { 2 } { x + 2 } + \frac { 3 x - 6 } { x ^ { 2 } + 5 }
D) 2x+5+3x+2+6(x+2) 2\frac { 2 } { x + 5 } + \frac { 3 } { x + 2 } + \frac { - 6 } { ( x + 2 ) ^ { 2 } }

Correct Answer:

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