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Find the Partial Fraction Decomposition for the Rational Expression 10x2−23x+4(x−4)(x2+2)\frac { 10 x ^ { 2 } - 23 x + 4 } { ( x - 4 ) \left( x ^ { 2 } + 2 \right) }

Question 194

Multiple Choice

Find the partial fraction decomposition for the rational expression.
10x2−23x+4(x−4) (x2+2) \frac { 10 x ^ { 2 } - 23 x + 4 } { ( x - 4 ) \left( x ^ { 2 } + 2 \right) }


A) 6x+1x2+2+4x−4\frac { 6 x + 1 } { x ^ { 2 } + 2 } + \frac { 4 } { x - 4 }
B) 6x−1x2+2+−4x−4\frac { 6 x - 1 } { x ^ { 2 } + 2 } + \frac { - 4 } { x - 4 }
C) −(6x+1) x2+2+4x−4\frac { - ( 6 x + 1 ) } { x ^ { 2 } + 2 } + \frac { 4 } { x - 4 }
D) 6x+4x2+2+1x−4\frac { 6 x + 4 } { x ^ { 2 } + 2 } + \frac { 1 } { x - 4 }

Correct Answer:

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