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Write the Form of the Partial Fraction Decomposition of the Rational

Question 2

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants.​ 5x+4(x+2) 4\frac { 5 x + 4 } { ( x + 2 ) ^ { 4 } }


A) A(x+2) 2+B(x+2) 3+C(x+2) 4\frac { A } { ( x + 2 ) ^ { 2 } } + \frac { B } { ( x + 2 ) ^ { 3 } } + \frac { C } { ( x + 2 ) ^ { 4 } }
B) A(x+2) 4\frac { A } { ( x + 2 ) ^ { 4 } }
C) 5x+24(x+2) 22(x+2) 34(x+2) 4\frac { 5 } { x + 2 } - \frac { 4 } { ( x + 2 ) ^ { 2 } } - \frac { 2 } { ( x + 2 ) ^ { 3 } } - \frac { 4 } { ( x + 2 ) ^ { 4 } }
D) A(x+2) 2+B(x+2) 2\frac { A } { ( x + 2 ) ^ { 2 } } + \frac { B } { ( x + 2 ) ^ { 2 } }
E) Ax+2+B(x+2) 2+C(x+2) 3+D(x+2) 4\frac { A } { x + 2 } + \frac { B } { ( x + 2 ) ^ { 2 } } + \frac { C } { ( x + 2 ) ^ { 3 } } + \frac { D } { ( x + 2 ) ^ { 4 } }

Correct Answer:

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