Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor $$\frac { 6 x + 3 } { ( x + 4 ) \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }$$

question 145

Multiple Choice

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor
- $$\frac { 6 x + 3 } { ( x + 4 ) \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }$$

• A) \(\frac { A } { x + 4 } + \frac { B x + C } { x ^ { 2 } + x + 5 } + \frac { D x + E } { \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }\)
• B) \(\frac { A } { x + 4 } + \frac { B } { x ^ { 2 } + x + 5 } + \frac { C } { \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }\)
• C) \(\frac { \mathrm { A } } { \mathrm { x } + 4 } + \frac { \mathrm { B } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 5 } + \frac { \mathrm { Cx } + \mathrm { D } } { \left( \mathrm { x } ^ { 2 } + \mathrm { x } + 5 \right) ^ { 2 } }\)
• D) \(\frac { \mathrm { A } } { \mathrm { x } + 4 } + \frac { \mathrm { Bx } + \mathrm { C } } { \mathrm { x } ^ { 2 } + \mathrm { x } + 5 }\)

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Definitions:

Unique-Event

A singular occurrence that is distinct in nature, not expected to repeat under normal circumstances.

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1.

Bullwhip Effect

A phenomenon in supply chains where small fluctuations in demand at the retail level cause progressively larger fluctuations in demand at the wholesale, distributor, and manufacturer levels.

Order Size

The quantity of goods a company purchases or produces in a single order to meet its demand while minimizing costs.