Completely Factor the Polynomial or State That the Polynomial Is $27 x ^ { 3 } + 1$

question 240

Multiple Choice

Completely factor the polynomial or state that the polynomial is prime.
- $27 x ^ { 3 } + 1$

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

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Definitions:

Division of Labour

The distribution of various segments of a production process or activity among several people to enhance efficiency and productivity.

Hierarchy of Authority

A system within organizations where power and responsibilities are ranked from the top (highest authority) to the bottom (lowest authority).

Mechanistic Design

A structure in organizations characterized by strict procedures, rigid divisions of labor, and centralized decision making.

Formal Coordination

A process where organizational activities are aligned and managed through explicit and official policies, procedures, and structures.