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

question 237

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) .
- $$\frac { x ^ { 3 } + 4 } { x ^ { 2 } + 4 x }$$

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

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