Write the Partial Fraction Decomposition of the Rational Expression $\frac { 3 x ^ { 2 } + 7 x + 7 } { x ^ { 3 } + x }$

question 22

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ $\frac { 3 x ^ { 2 } + 7 x + 7 } { x ^ { 3 } + x }$ ​

• A) \(\frac { 7 } { x } - \frac { 4 x + 7 } { x ^ { 2 } + 1 }\)
• B) \(\frac { 7 } { x } + \frac { 4 x - 7 } { x ^ { 2 } + 1 }\)
• C) \(\frac { 7 } { x } + \frac { 4 x + 7 } { x ^ { 2 } + 1 }\)
• D) \(\frac { 7 } { x } - \frac { 7 x - 7 } { x ^ { 2 } + 1 }\)
• E) \(\frac { 7 } { x } - \frac { 4 x - 7 } { x ^ { 2 } + 1 }\)

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