Factor Completely $$24 x ^ { 6 } + 66 x ^ { 4 } + 45 x ^ { 2 }$$

question 46

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$24 x ^ { 6 } + 66 x ^ { 4 } + 45 x ^ { 2 }$$

• A) \(3 x ^ { 2 } \left( 2 x ^ { 2 } - 3 \right) \left( 4 x ^ { 2 } - 5 \right)\)
• B) \(3 x ^ { 2 } \left( 4 x ^ { 2 } + 5 \right) \left( 2 x ^ { 2 } + 3 \right)\)
• C) \(3 \left( 4 x ^ { 4 } + 5 \right) \left( 2 x ^ { 2 } + 3 \right)\)
• D) \(\left( 12 x ^ { 3 } + 15 \right) \left( 2 x ^ { 3 } + 3 \right)\)

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Definitions:

Personality Clashes

Conflicts or disagreements resultant from differences in character, temperament, or preferences among individuals.

Time Pressure

The stress experienced when one perceives that there is not enough time available to perform a task or meet a deadline.

Communication Breakdowns

Disruptions or failures in the process of exchanging information that can lead to misunderstandings, conflicts, and inefficiencies within organizations.

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Objectives that require cooperation between two or more groups or individuals, often used to resolve conflicts by creating a shared purpose that outweighs individual or group conflicts.