Find the partial fraction decomposition for the rational expression.
-$$\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }$$
A) $2 x - 9 + \frac { - 5 / 3 } { x + 2 } + \frac { 1 / 3 } { x - 1 }$

B) $2 x - 9 + \frac { 19 } { x + 2 } - \frac { - 1 } { x - 1 }$

C) $2 x + 5 + \frac { - 7 / 3 } { x + 2 } + \frac { 13 / 3 } { x - 1 }$

D) $2 x + 9 + \frac { - 13 } { x + 2 } + \frac { 7 } { x - 1 }$

Question

Find the partial fraction decomposition for the rational expression.
-$$\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }$$
A) $2 x - 9 + \frac { - 5 / 3 } { x + 2 } + \frac { 1 / 3 } { x - 1 }$

B) $2 x - 9 + \frac { 19 } { x + 2 } - \frac { - 1 } { x - 1 }$

C) $2 x + 5 + \frac { - 7 / 3 } { x + 2 } + \frac { 13 / 3 } { x - 1 }$

D) $2 x + 9 + \frac { - 13 } { x + 2 } + \frac { 7 } { x - 1 }$

Quizplus · Accepted Answer

The Answer of Find the partial fraction decomposition for the rational expression.
-$$\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }$$
A) $2 x - 9 + \frac { - 5 / 3 } { x + 2 } + \frac { 1 / 3 } { x - 1 }$

B) $2 x - 9 + \frac { 19 } { x + 2 } - \frac { - 1 } { x - 1 }$

C) $2 x + 5 + \frac { - 7 / 3 } { x + 2 } + \frac { 13 / 3 } { x - 1 }$

D) $2 x + 9 + \frac { - 13 } { x + 2 } + \frac { 7 } { x - 1 }$

Find the Partial Fraction Decomposition for the Rational Expression 2x3−7x2+5x−3x2+x−2\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }x2+x−22x3−7x2+5x−3​

Find the Partial Fraction Decomposition for the Rational Expression $\frac { 2 x ^ { 3 } - 7 x ^ { 2 } + 5 x - 3 } { x ^ { 2 } + x - 2 }$