Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
-$$\frac { 3 x + 5 } { ( x - 3 ) ( x + 1 ) }$$
A) $\frac { A } { x - 3 } + \frac { B } { x + 1 }$
B) $\frac { A } { x - 3 } + \frac { B } { x + 1 } + \frac { C x + D } { ( x - 3 ) ( x + 1 ) }$
C) $\frac { A } { x - 3 } + \frac { B } { x + 1 } + \frac { C } { ( x - 3 ) ( x + 1 ) }$
D) $\frac { A } { x - 3 } + \frac { B } { x + 1 } + \frac { C } { ( x - 3 ) ^ { 2 } ( x + 1 ) ^ { 2 } }$

Question

Quizplus · Accepted Answer

The given rational expression has a linear denominator with distinct factors, so the partial fraction decomposition involves a term for each factor in the denominator, without the need for terms involving higher powers or polynomial numerators.

Write the Form of the Partial Fraction Decomposition of the Rational