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Find the Partial Fraction Decomposition 3x3+13x2+26x+7x(x+1)3\frac { 3 x ^ { 3 } + 13 x ^ { 2 } + 26 x + 7 } { x ( x + 1 ) ^ { 3 } }

Question 25

Multiple Choice

Find the partial fraction decomposition. 3x3+13x2+26x+7x(x+1) 3\frac { 3 x ^ { 3 } + 13 x ^ { 2 } + 26 x + 7 } { x ( x + 1 ) ^ { 3 } }


A) 7x+4x1+9(x+1) 3\frac { 7 } { x } + \frac { 4 } { x - 1 } + \frac { 9 } { ( x + 1 ) ^ { 3 } }
B) 7x+9x+14(x+1) 3\frac { 7 } { x } + \frac { 9 } { x + 1 } - \frac { 4 } { ( x + 1 ) ^ { 3 } }
C) 7x4x+1+9(x+1) 2\frac { 7 } { x } - \frac { 4 } { x + 1 } + \frac { 9 } { ( x + 1 ) ^ { 2 } }
D) 4x4x+19(x+1) 3\frac { 4 } { x } - \frac { 4 } { x + 1 } - \frac { 9 } { ( x + 1 ) ^ { 3 } }
E) 7x4x+1+9(x+1) 3\frac { 7 } { x } - \frac { 4 } { x + 1 } + \frac { 9 } { ( x + 1 ) ^ { 3 } }

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