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Write the Form of the Partial Fraction Decomposition of the Rational

Question 9

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- 5x3(x5) (x2+x+5) \frac { 5 x - 3 } { ( x - 5 ) \left( x ^ { 2 } + x + 5 \right) }


A) Ax5+Bx2+x+5+C(x5) (x2+x+5) \frac { A } { x - 5 } + \frac { B } { x ^ { 2 } + x + 5 } + \frac { C } { ( x - 5 ) \left( x ^ { 2 } + x + 5 \right) }
B) Ax5+Bx2+x+5\frac { \mathrm { A } } { \mathrm { x } - 5 } + \frac { \mathrm { B } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 5 }
C) Ax5+Bx+Cx2+x+5+D(x5) (x2+x+5) \frac { A } { x - 5 } + \frac { B x + C } { x ^ { 2 } + x + 5 } + \frac { D } { ( x - 5 ) \left( x ^ { 2 } + x + 5 \right) }
D) Ax5+Bx+Cx2+x+5\frac { A } { x - 5 } + \frac { B x + C } { x ^ { 2 } + x + 5 }

Correct Answer:

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