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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.Do not solve for the constants.​ x+2x2(3x8) 2\frac { x + 2 } { x ^ { 2 } ( 3 x - 8 ) ^ { 2 } }


A) Ax+2+Bx2+8+C3x8+D(3x+8) 2\frac { A } { x + 2 } + \frac { B } { x ^ { 2 } + 8 } + \frac { C } { 3 x - 8 } + \frac { D } { ( 3 x + 8 ) ^ { 2 } }
B) ​ Ax2Bx2Cx2(3x8) D(3x8) 2\frac { A } { x - 2 } - \frac { B } { x ^ { 2 } } - \frac { C } { x ^ { 2 } ( 3 x - 8 ) } - \frac { D } { ( 3 x - 8 ) ^ { 2 } }
C) Ax+2+Bx2+C(3x8) 2\frac { A } { x + 2 } + \frac { B } { x ^ { 2 } } + \frac { C } { ( 3 x - 8 ) ^ { 2 } }
D) Ax2+C(3x8) 3+D(3x8) 3\frac { A } { x ^ { 2 } } + \frac { C } { ( 3 x - 8 ) ^ { 3 } } + \frac { D } { ( 3 x - 8 ) ^ { 3 } }
E) Ax+Bx2+C3x8+D(3x8) 2\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C } { 3 x - 8 } + \frac { D } { ( 3 x - 8 ) ^ { 2 } }

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