Use Long Division to Divide $\left( x ^ { 4 } + 4 x ^ { 2 } + 6 \right) \div \left( x ^ { 2 } + x + 4 \right)$

question 15

Multiple Choice

Use long division to divide.​ $\left( x ^ { 4 } + 4 x ^ { 2 } + 6 \right) \div \left( x ^ { 2 } + x + 4 \right)$

• A) \(x ^ { 2 } - x + 1\)
• B) \(x ^ { 2 } + x - 1\)
• C) \(x ^ { 2 } - x + 1 + \frac { 3 x + 2 } { x ^ { 2 } + x + 4 }\)
• D) \(x ^ { 2 } + x - 1 + \frac { 3 x - 4 } { x ^ { 2 } + x + 4 }\)
• E) \(x ^ { 2 } - x + 1 + \frac { 4 } { x ^ { 2 } - x + 1 }\)

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Definitions:

Task Behavior

The actions and activities an individual undertakes to achieve a specific objective.

Relationship Behavior

Actions and interactions that define the nature of relationships between individuals or groups.

Subordinates

Employees or team members who are ranked lower within an organization's hierarchy and report to a supervisor or manager.

Initiating Structure

A leadership behavior that involves setting up clear roles, tasks, and goals, and organizing work processes to achieve objectives.