Write the Form of the Partial Fraction Decomposition of the Rational

question 277

Multiple Choice

Write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants. $\frac { x + 2 } { x ^ { 2 } ( 3 x - 8 ) ^ { 2 } }$

• A) \(\frac { A } { x + 2 } + \frac { B } { x ^ { 2 } + 8 } + \frac { C } { 3 x - 8 } + \frac { D } { ( 3 x + 8 ) ^ { 2 } }\)
• B) \(\frac { A } { x - 2 } - \frac { B } { x ^ { 2 } } - \frac { C } { x ^ { 2 } ( 3 x - 8 ) } - \frac { D } { ( 3 x - 8 ) ^ { 2 } }\)
• C) \(\frac { A } { x + 2 } + \frac { B } { x ^ { 2 } } + \frac { C } { ( 3 x - 8 ) ^ { 2 } }\)
• D) \(\frac { A } { x ^ { 2 } } + \frac { C } { ( 3 x - 8 ) ^ { 3 } } + \frac { D } { ( 3 x - 8 ) ^ { 3 } }\)
• E) \(\frac { A } { x } + \frac { B } { x ^ { 2 } } + \frac { C } { 3 x - 8 } + \frac { D } { ( 3 x - 8 ) ^ { 2 } }\)

---

Definitions:

Innovation

The act of converting a concept or innovation into a product or service that adds value or is something consumers are willing to purchase.

New Idea

An original concept, thought, or innovation that has not been previously considered or implemented.

Lack of Information

A situation where insufficient or no data is available to make informed decisions or understand a situation fully.

Disruptive Innovation

Innovation that creates products or services that become so widely used that they largely replace prior practices and competitors.