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Write the Partial Fraction Decomposition of the Rational Expression 8x2+12x+19x3+2x2+5x+10\frac { 8 x ^ { 2 } + 12 x + 19 } { x ^ { 3 } + 2 x ^ { 2 } + 5 x + 10 }

Question 35

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 8x2+12x+19x3+2x2+5x+10\frac { 8 x ^ { 2 } + 12 x + 19 } { x ^ { 3 } + 2 x ^ { 2 } + 5 x + 10 }


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

Correct Answer:

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