Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 2 x - 5 } { x ^ { 2 } - 5 x - 6 }$$

question 15

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 2 x - 5 } { x ^ { 2 } - 5 x - 6 }$$

• A) \(\frac { 1 } { x - 6 } + \frac { 1 } { x + 1 }\)
• B) \(\frac { 1 } { x - 3 } + \frac { 1 } { x - 2 }\)
• C) \(\frac { 17 } { x + 6 } - \frac { 3 } { x - 1 }\)
• D) \(\frac { 9 } { x + 2 } + \frac { 1 } { x - 3 }\)

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Definitions:

Single-phase

Refers to an electrical power system that uses only one alternating current (AC) voltage phase, common in residential and light commercial applications.

Three-phase

A system of three electrical currents or waves that are offset in phase by one-third of their cycle, commonly used in power systems for efficient electricity distribution.

NEMA

The National Electrical Manufacturers Association, which sets standards for electrical equipment.

Lead Wires

Conductors or cables that connect electrical or electronic components, allowing for the transfer of electrical signals or power.