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Factor the Denominator of the Given Rational Expression, and Then 11x−33x2−3\frac { 11 x - 3 \sqrt { 3 } } { x ^ { 2 } - 3 }

Question 20

Multiple Choice

Factor the denominator of the given rational expression, and then find the partial fraction decomposition. 11x−33x2−3\frac { 11 x - 3 \sqrt { 3 } } { x ^ { 2 } - 3 }


A) 11xx+3+−33x−3\frac { 11 x } { x + \sqrt { 3 } } + \frac { - 3 \sqrt { 3 } } { x - \sqrt { 3 } }
B) 4x+3+7x−3\frac { 4 } { x + \sqrt { 3 } } + \frac { 7 } { x - \sqrt { 3 } }
C) 7x+3+4x−3\frac { 7 } { x + 3 } + \frac { 4 } { x - 3 }
D) 7x+3+−4x−3\frac { 7 } { x + \sqrt { 3 } } + \frac { - 4 } { x - \sqrt { 3 } }
E) 7x+3+4x−3\frac { 7 } { x + \sqrt { 3 } } + \frac { 4 } { x - \sqrt { 3 } }

Correct Answer:

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