Decompose P/Q, Where Q Has a Nonrepeated Prime Quadratic Factor $$\frac { 6 x + 4 } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }$$

question 208

Multiple Choice

Decompose P/Q, Where Q Has a Nonrepeated Prime Quadratic Factor
- $$\frac { 6 x + 4 } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }$$

• A) \(\frac { \mathrm { A } } { \mathrm { x } - 1 } + \frac { \mathrm { Bx } + \mathrm { C } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 1 }\)
• B) \(\frac { A } { x - 1 } + \frac { B } { x ^ { 2 } + x + 1 }\)
• C) \(\frac { A } { x - 1 } + \frac { B } { x ^ { 2 } + x + 1 } + \frac { C } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }\)
• D) \(\frac { A } { x - 1 } + \frac { B x + C } { x ^ { 2 } + x + 1 } + \frac { D } { ( x - 1 ) \left( x ^ { 2 } + x + 1 \right) }\)

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Definitions:

Critical Flicker Fusion

The frequency at which an intermittent light stimulus appears to be completely steady to the average human observer.

16 Fps

A frame rate of 16 frames per second, commonly used in early silent films to create motion.

24 Fps

The standard frame rate for cinema, making up the number of individual frames or images displayed per second in a film.

Persistence of Vision

This is the phenomenon where the human eye retains an image for a brief moment after its source has been removed, foundational to the illusion of motion in film.