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Write the Partial Fraction Decomposition of the Rational Expression 28x+4(x3)2(x2+1)\frac { - 28 x + 4 } { ( x - 3 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) }

Question 36

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 28x+4(x3) 2(x2+1) \frac { - 28 x + 4 } { ( x - 3 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) }


A) 6x2(x3) 2+2x+2x2+1\frac { - 6 x - 2 } { ( x - 3 ) ^ { 2 } } + \frac { - 2 x + 2 } { x ^ { 2 } + 1 }
B) 2x3+8(x3) 2+2x+2x2+1\frac { 2 } { x - 3 } + \frac { - 8 } { ( x - 3 ) ^ { 2 } } + \frac { - 2 x + 2 } { x ^ { 2 } + 1 }
C) 2x3+6(x3) 2+2x2x2+1\frac { 2 } { x - 3 } + \frac { - 6 } { ( x - 3 ) ^ { 2 } } + \frac { - 2 x - 2 } { x ^ { 2 } + 1 }
D) 2x3+8(x3) 2+2x2+1\frac { 2 } { x - 3 } + \frac { - 8 } { ( x - 3 ) ^ { 2 } } + \frac { - 2 } { x ^ { 2 } + 1 }

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