Write the partial fraction decomposition of the rational expression.
-$\frac { x - 1 } { ( x - 3 ) ( x - 2 ) }$
A) $\frac { - 1 } { x - 3 } + \frac { 2 } { x - 2 }$
B) $\frac { 2 } { x - 3 } + \frac { - 1 } { x - 2 }$
C) $\frac { 1 } { x - 3 } + \frac { - 2 } { x - 2 }$
D) $\frac { 2 } { x - 3 } + \frac { 1 } { x - 2 }$

Question

Quizplus · Accepted Answer

The partial fraction decomposition of $\frac{x - 1}{(x - 3)(x - 2)}$ is $\frac{2}{x - 3} + \frac{-1}{x - 2}$. Solving for coefficients A and B in $\frac{A}{x - 3} + \frac{B}{x - 2}$ gives A = 2 and B = -1.

Write the Partial Fraction Decomposition of the Rational Expression x−1(x−3)(x−2)\frac { x - 1 } { ( x - 3 ) ( x - 2 ) }(x−3)(x−2)x−1​

Write the Partial Fraction Decomposition of the Rational Expression $\frac { x - 1 } { ( x - 3 ) ( x - 2 ) }$