Write the partial fraction decomposition of the rational expression.
-$$\frac { x - 7 } { ( x - 2 ) ( x - 3 ) }$$
A) $\frac { 5 } { x - 2 } + \frac { - 4 } { x - 3 }$
B) $\frac { 5 } { x - 2 } + \frac { 4 } { x - 3 }$
C) $\frac { - 4 } { x - 2 } + \frac { 5 } { x - 3 }$
D) $\frac { 4 } { x - 2 } + \frac { - 5 } { x - 3 }$

Question

Quizplus · Accepted Answer

The partial fraction decomposition of $\frac { x - 7 } { ( x - 2 ) ( x - 3 ) }$ is $\frac { 5 } { x - 2 } + \frac { - 4 } { x - 3 }$ by setting up equations for the numerators of the fractions and solving for their values.

Write the Partial Fraction Decomposition of the Rational Expression x−7(x−2)(x−3)\frac { x - 7 } { ( x - 2 ) ( x - 3 ) }(x−2)(x−3)x−7​

Write the Partial Fraction Decomposition of the Rational Expression $\frac { x - 7 } { ( x - 2 ) ( x - 3 ) }$