Divide Using Long Division $$\left( 2 x ^ { 4 } - 3 x ^ { 2 } + 6 x ^ { 3 } - 9 x \right) \div ( 2 x + 6 )$$

question 448

Multiple Choice

Divide using long division.
- $$\left( 2 x ^ { 4 } - 3 x ^ { 2 } + 6 x ^ { 3 } - 9 x \right) \div ( 2 x + 6 )$$

• A) \(x ^ { 3 } - \frac { 3 } { 2 } x\)
• B) \(x ^ { 3 } + \frac { 3 } { 2 } x\)
• C) \(x ^ { 3 } - 6 x + \frac { 4 x } { 2 x + 6 }\)
• D) \(x ^ { 3 } - \frac { 3 } { 2 } x - \frac { 18 x } { 2 x + 6 }\)

Understand the philosophies and objectives driving the Progressive era, including democracy participation, conservation, and labor rights.

Identify key legislative and constitutional amendments of the Progressive era and their impacts.

Recognize the role and impact of influential personalities and movements in shaping the Progressive era.

Understand the principles of the conservation movement and its implementation during the Progressive era.

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Definitions:

Common Resource

A shared resource that multiple parties can access and use, which often leads to overuse and depletion due to a lack of exclusive ownership.

Positive Externality

A benefit that affects a party who did not choose to incur that benefit, often associated with public goods or services that extend beyond the direct participants in an economic activity.

Rival in Consumption

Refers to a situation where the consumption of a good by one individual prevents or diminishes its consumption by another.

Club Goods

Goods that are excludable but non-rivalrous, meaning they can be accessed by members of a specific group but one person's use does not diminish availability for others.