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Find the Partial Fraction Decomposition for the Rational Expression 12x2−23x+20(x−4)(x2+4)\frac { 12 x ^ { 2 } - 23 x + 20 } { ( x - 4 ) \left( x ^ { 2 } + 4 \right) }

Question 126

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 12x2−23x+20(x−4) (x2+4) \frac { 12 x ^ { 2 } - 23 x + 20 } { ( x - 4 ) \left( x ^ { 2 } + 4 \right) }


A) −(6x+1) x2+4+6x−4\frac { - ( 6 x + 1 ) } { x ^ { 2 } + 4 } + \frac { 6 } { x - 4 }
B) 6x+1x2+4+6x−4\frac { 6 x + 1 } { x ^ { 2 } + 4 } + \frac { 6 } { x - 4 }
C) 6x−1x2+4+−6x−4\frac { 6 x - 1 } { x ^ { 2 } + 4 } + \frac { - 6 } { x - 4 }
D) 6x+6x2+4+1x−4\frac { 6 x + 6 } { x ^ { 2 } + 4 } + \frac { 1 } { x - 4 }

Correct Answer:

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