Write the Partial Fraction Decomposition of the Improper Rational Expression $\frac { x ^ { 2 } + 4 x } { x ^ { 2 } + x + 1 }$

question 35

Multiple Choice

Write the partial fraction decomposition of the improper rational expression. $\frac { x ^ { 2 } + 4 x } { x ^ { 2 } + x + 1 }$ ​

• A)​ \(1 + \frac { 4 x - 1 } { x ^ { 2 } + x + 1 }\)
• B) \(1 + \frac { 3 x - 1 } { x ^ { 2 } + x + 1 }\)
• C) \(\frac { x ^ { 2 } } { x ^ { 2 } + x + 1 } + \frac { 4 x } { x ^ { 2 } + x + 1 }\)
• D) \(\frac { x ^ { 2 } + 4 x } { x ^ { 2 } + x + 1 }\)
• E) \(\frac { 3 x - 1 } { x ^ { 2 } + x + 1 }\)

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