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

question 217

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:

Memory Functions

The cognitive processes involved in storing, retaining, and recalling information.

Cerebrum

The largest part of the brain, responsible for various higher functions such as thought, action, memory, and emotion.

Brain Region

A specific area within the brain responsible for certain functions or processes, such as the occipital lobe's role in visual processing.

Frontal Lobe

The part of the brain located at the front of each cerebral hemisphere, responsible for executive functions, such as judgment, problem-solving, and planning.