Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 8 x + 1 } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }$$

question 286

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 8 x + 1 } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }$$

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

---

Definitions:

Art Gallery

A space or building where artworks are displayed and sometimes sold to the public.

Unconscionability

A doctrine in contract law that describes terms that are so extremely unjust or overwhelmingly one-sided in favor of the party who has the superior bargaining power.

Non Est Factum

A legal defense asserting that a contract is invalid because the signer was unaware of its true nature due to misinformation or misunderstanding.

Duress

A situation where a person performs an act as a result of violence, threat, or pressure against them.