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Write the Form of the Partial Fraction Decomposition for the Following

Question 94

Multiple Choice

Write the form of the partial fraction decomposition for the following rational expression. 4x2+3(x+8) 3\frac { 4 x ^ { 2 } + 3 } { ( x + 8 ) ^ { 3 } }


A) Ax+8+B(x+8) 2+C(x+8) 3\frac { A } { x + 8 } + \frac { B } { ( x + 8 ) ^ { 2 } } + \frac { C } { ( x + 8 ) ^ { 3 } }
B) Ax2+C(x+8) 3\frac { A x ^ { 2 } + C } { ( x + 8 ) ^ { 3 } }
C) Ax+Bx+8+Cx2+D(x+8) 2+Ex3+F(x+8) 3\frac { A x + B } { x + 8 } + \frac { C x ^ { 2 } + D } { ( x + 8 ) ^ { 2 } } + \frac { E x ^ { 3 } + F } { ( x + 8 ) ^ { 3 } }
D) Ax+8+B(x+8) 3\frac { A } { x + 8 } + \frac { B } { ( x + 8 ) ^ { 3 } }
E) 3x+8+4x2(x+8) 2+A(x+8) 3\frac { 3 } { x + 8 } + \frac { 4 x ^ { 2 } } { ( x + 8 ) ^ { 2 } } + \frac { A } { ( x + 8 ) ^ { 3 } }

Correct Answer:

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