Find the Partial Fraction Decomposition $$\frac { - 4 x ^ { 2 } - 33 x - 54 } { x ^ { 3 } + 6 x ^ { 2 } + 9 x }$$

question 177

Multiple Choice

Find the partial fraction decomposition.
- $$\frac { - 4 x ^ { 2 } - 33 x - 54 } { x ^ { 3 } + 6 x ^ { 2 } + 9 x }$$

• A) \(\frac { - 6 } { x } + \frac { - 3 } { ( x + 3 ) ^ { 2 } }\)
• B) \(\frac { - 6 } { x } + \frac { 2 } { x + 3 } + \frac { - 3 x } { ( x + 3 ) ^ { 2 } }\)
• C) \(\frac { - 6 } { x } + \frac { 2 x - 3 } { ( x + 3 ) ^ { 2 } }\)
• D) \(\frac { - 6 } { x } + \frac { 2 } { x + 3 } + \frac { - 3 } { ( x + 3 ) ^ { 2 } }\)

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Definitions:

Door-In-The-Face

A persuasion technique whereby a large, unreasonable request is made first and, if refused, a smaller, more reasonable request is made.

Lowballing

A sales and negotiation tactic where an initially lower price is offered to lure the customer or counterpart, only to increase it later on.

Normative Influence

Pressure to conform to the expectations or norms of a group, affecting individuals’ behavior and attitudes.

Personal Standards

Individual beliefs or rules about the level of performance or behavior one should achieve or adhere to.