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Write the Form of the Partial Fraction Decomposition of the Rational

Question 10

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.​ 6x1x(x216) \frac { 6 x - 1 } { x \left( x ^ { 2 } - 16 \right) }


A) Ax+Bx2+Cx+Dx216\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C x + D } { x ^ { 2 } - 16 }
B) A6x+Bx+C6(x+4) +Cx+D6(x4) \frac { A } { 6 x } + \frac { B x + C } { 6 ( x + 4 ) } + \frac { C x + D } { 6 ( x - 4 ) }
C) Ax+Bx2+Cx+Dx16\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C x + D } { x - 16 }
D) Ax+Bx+4+Cx4\frac { A } { x } + \frac { B } { x + 4 } + \frac { C } { x - 4 }
E) AxB(x+16) (x16) \frac { A } { x } - \frac { B } { ( x + 16 ) ( x - 16 ) }

Correct Answer:

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