Write the Form of the Partial Fraction Decomposition of the Rational

question 99

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants.
- $$\frac { 3 x + 4 } { ( x + 4 ) \left( x ^ { 2 } + x - 4 \right) ^ { 2 } }$$

• A) \(\frac { \mathrm { A } } { \mathrm { x } + 4 } + \frac { \mathrm { B } } { \mathrm { x } ^ { 2 } + \mathrm { x } - 4 } + \frac { \mathrm { Cx } + \mathrm { D } } { \left( \mathrm { x } ^ { 2 } + \mathrm { x } - 4 \right) ^ { 2 } }\)
• B) \(\frac { A } { x + 4 } + \frac { B x + C } { x ^ { 2 } + x - 4 } + \frac { D x + E } { \left( x ^ { 2 } + x - 4 \right) ^ { 2 } }\)
• C) \(\frac { \mathrm { A } } { \mathrm { x } + 4 } + \frac { \mathrm { Bx } + \mathrm { C } } { \mathrm { x } ^ { 2 } + \mathrm { x } - 4 }\)
• D) \(\frac { A } { x + 4 } + \frac { B } { x ^ { 2 } + x - 4 } + \frac { C } { \left( x ^ { 2 } + x - 4 \right) ^ { 2 } }\)

---

Definitions:

Personal-Injury

Legal term referring to injury to the body, mind, or emotions, as opposed to an injury to property.

Litigation Process

The procedure of taking legal action in court to enforce or defend a right or settle a dispute.

Legitimate Grounds

Valid or justifiable reasons for taking a certain action or stance.

Appeal

The process by which a party to a case seeks a formal change to an official decision, usually through a higher court's review of the lower court's decision.