Write the Partial Fraction Decomposition of the Rational Expression $\frac { 8 } { x ^ { 2 } + 2 x - 3 }$

question 29

Multiple Choice

Write the partial fraction decomposition of the rational expression.Check your result algebraically.​ $\frac { 8 } { x ^ { 2 } + 2 x - 3 }$ ​

• A) \(\frac { 2 } { x - 1 } + \frac { 2 } { x + 3 }\)
• B) \(\frac { 1 } { x - 1 } + \frac { 1 } { x + 3 }\)
• C) \(\frac { 1 } { x - 1 } - \frac { 1 } { x + 3 }\)
• D) \(\frac { 2 } { x - 1 } - \frac { 2 } { x + 3 }\)
• E) \(\frac { 2 } { x + 1 } - \frac { 2 } { x - 3 }\)

---

Definitions:

Complete

Refers to something that is whole, finished, or having all necessary parts.

Explanandum

The phenomenon or event that is to be explained in scientific inquiry or philosophical argument.

Hypothesis

An assumption made for the sake of argument or investigation.

Logical Strength

The extent to which the premises of an argument support its conclusion, determining how conclusive the argument is.