Find the Partial Fraction Decomposition for the Rational Expression $\frac { 22 x ^ { 2 } - 105 x + 132 } { ( x - 4 ) ( 2 x - 4 ) ^ { 2 } }$

question 161

Multiple Choice

Find the partial fraction decomposition for the rational expression.
$\frac { 22 x ^ { 2 } - 105 x + 132 } { ( x - 4 ) ( 2 x - 4 ) ^ { 2 } }$

• A) \(\frac { 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 3 } { 2 x - 4 } + \frac { - 4 } { x - 4 }\)
• B) \(\frac { 3 } { 2 x - 4 } + \frac { - 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 4 } { x - 4 }\)
• C) \(\frac { - 4 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 3 } { 2 x - 4 } + \frac { 5 } { x - 4 }\)
• D) \(\frac { - 5 } { ( 2 x - 4 ) ^ { 2 } } + \frac { 3 } { 2 x - 4 } + \frac { 4 } { x - 4 }\)

---

Definitions:

Middle Managers

Managers who report to upper management and supervise lower-level managers, often responsible for translating organizational strategies into operational plans.

Matrix Design

An organizational structure that combines functional and product-based divisions, allowing for flexibility and enhanced collaboration.

Organizational Structures

define the ways in which jobs, power, and responsibilities are arranged within a company to achieve its objectives.

Matrix Organization

A matrix organization is a company structure that creates teams by combining functional and project-based departments, aiming to improve communication, flexibility, and dynamic project handling.