Use the Binomial Theorem to Expand the Expression $( x + 3 ) ^ { 6 }$

question 86

Multiple Choice

Use the Binomial Theorem to expand the expression $( x + 3 ) ^ { 6 }$ .

• A) \(x ^ { 6 } + 729\)
• B) \(x ^ { 6 } + 3\)
• C) \(x ^ { 6 } + 3 x ^ { 5 } + 9 x ^ { 4 } + 27 x ^ { 3 } + 81 x ^ { 2 } + 243 x + 729\)
• D) \(x ^ { 6 } + 6 x ^ { 5 } + 15 x ^ { 4 } + 20 x ^ { 3 } + 15 x ^ { 2 } + 6 x + 729\)
• E) \(x ^ { 6 } + 18 x ^ { 5 } + 135 x ^ { 4 } + 540 x ^ { 3 } + 1215 x ^ { 2 } + 1458 x + 729\)

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Definitions:

Subordinates

Individuals who are lower in rank or position in an organization and report to a superior.

Superiors

Individuals within an organizational hierarchy who have a higher rank or position than others and typically have some level of authority over them.

Coercive Power

The ability to influence others' actions through threats, punishment, or other forms of pressure.

General Decline

A widespread decrease or deterioration over time.