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Write the Partial Fraction Decomposition of the Rational Expression 14x248x54x(x6)(x+3)\frac { 14 x ^ { 2 } - 48 x - 54 } { x ( x - 6 ) ( x + 3 ) }

Question 86

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 14x248x54x(x6) (x+3) \frac { 14 x ^ { 2 } - 48 x - 54 } { x ( x - 6 ) ( x + 3 ) }


A) 3x+3x6+8x+3\frac { 3 } { x } + \frac { 3 } { x - 6 } + \frac { 8 } { x + 3 }
B) 3x+4x6+7x+3\frac { 3 } { x } + \frac { 4 } { x - 6 } + \frac { 7 } { x + 3 }
C) 3x+2x6+9x+3\frac { 3 } { x } + \frac { 2 } { x - 6 } + \frac { 9 } { x + 3 }
D) x+3x26+8x+3\frac { x + 3 } { x ^ { 2 } - 6 } + \frac { 8 } { x + 3 }

Correct Answer:

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