Decompose P/Q, Where Q Has Repeated Linear Factors
Write the Form

question 11

Multiple Choice

Decompose P/Q, Where Q Has Repeated Linear Factors
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
- $$\frac { 9 x ^ { 2 } - 9 x + 6 } { ( x - 1 ) ^ { 3 } }$$

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

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Definitions:

Char

A data type in programming used to store a single character within single quotes.

Strcpy

A standard library function in C that copies a string from one location to another.

Message

Information or data conveyed from one process or system to another, often via communication protocols or messaging systems.

String

A sequence of characters treated as a single data entity, commonly used to represent text in programming.