Factor the Polynomial Completely $2 n ^ { 3 } + 6 n ^ { 2 } + 8 n$

question 87

Multiple Choice

Factor the polynomial completely. $2 n ^ { 3 } + 6 n ^ { 2 } + 8 n$

• A) \(2 \left( n ^ { 2 } + 1 \right) ( n + 4 )\)
• B) \(2 ( n + 1 ) ( n + 4 )\)
• C) \(2 n \left( n ^ { 2 } + 3 n + 4 \right)\)
• D) \(2 n \left( n ^ { 2 } - 3 n + 4 \right)\)
• E) not factorable

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Definitions:

Risk Averse

Having the tendency to prefer outcomes with lower uncertainty and potential for loss, even if they may offer lesser but more certain rewards.

Expected Utility

A theory in economics that quantifies how choices are made with uncertainty, aimed at maximizing the satisfaction or benefit.

Risk-neutral

A characteristic of individuals or entities that exhibit indifference between choices with differing levels of risk, focusing solely on expected outcomes.

Expected Utility

A strategy in economics and game theory where individuals choose the option with the highest expected benefit, taking into account all future outcomes.