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Use Division to Write the Rational Function in the Form x3+4x2+4x\frac { x ^ { 3 } + 4 } { x ^ { 2 } + 4 x }

Question 248

Multiple Choice

Use division to write the rational function in the form q(x) + r(x) /d(x) , where the degree of r(x) is less than the degree of
d(x) . Then find the partial fraction decomposition of r(x) /d(x) .
- x3+4x2+4x\frac { x ^ { 3 } + 4 } { x ^ { 2 } + 4 x }


A) 15x+4+1x\frac { 15 } { x + 4 } + \frac { 1 } { x }
B) x4+1x+4+1xx - 4 + \frac { 1 } { x + 4 } + \frac { 1 } { x }
C) x4+15x+4+1xx - 4 + \frac { 15 } { x + 4 } + \frac { 1 } { x }
D) x+4+17x+4+1xx + 4 + \frac { 17 } { x + 4 } + \frac { 1 } { x }

Correct Answer:

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