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Write the Partial Fraction Decomposition of the Rational Expression 4x212x48x(x4)(x6)\frac { 4 x ^ { 2 } - 12 x - 48 } { x ( x - 4 ) ( x - 6 ) }

Question 144

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 4x212x48x(x4) (x6) \frac { 4 x ^ { 2 } - 12 x - 48 } { x ( x - 4 ) ( x - 6 ) }


A) x+4x24+2x6\frac { x + 4 } { x ^ { 2 } - 4 } + \frac { 2 } { x - 6 }
B) 2x+5x4+1x6\frac { - 2 } { x } + \frac { 5 } { x - 4 } + \frac { 1 } { x - 6 }
C) 2x+4x4+2x6\frac { - 2 } { x } + \frac { 4 } { x - 4 } + \frac { 2 } { x - 6 }
D) 2x+3x4+3x6\frac { - 2 } { x } + \frac { 3 } { x - 4 } + \frac { 3 } { x - 6 }

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