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Write the Partial Fraction Decomposition of the Rational Expression 16x2105x+90x(x6)(x5)\frac { 16 x ^ { 2 } - 105 x + 90 } { x ( x - 6 ) ( x - 5 ) }

Question 163

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 16x2105x+90x(x6) (x5) \frac { 16 x ^ { 2 } - 105 x + 90 } { x ( x - 6 ) ( x - 5 ) }


A) 3x+7x6+6x5\frac { 3 } { x } + \frac { 7 } { x - 6 } + \frac { 6 } { x - 5 }
B) 3x+6x6+7x5\frac { 3 } { x } + \frac { 6 } { x - 6 } + \frac { 7 } { x - 5 }
C) x+6x26+7x5\frac { x + 6 } { x ^ { 2 } - 6 } + \frac { 7 } { x - 5 }
D) 3x+5x6+8x5\frac { 3 } { x } + \frac { 5 } { x - 6 } + \frac { 8 } { x - 5 }

Correct Answer:

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