Factor by Grouping $$8 x ^ { 6 } - 12 x ^ { 3 } + 10 x ^ { 3 } - 15$$

question 566

Multiple Choice

Factor by grouping.
- $$8 x ^ { 6 } - 12 x ^ { 3 } + 10 x ^ { 3 } - 15$$

• A) \(\left( 4 x ^ { 3 } - 5 \right) \left( 2 x ^ { 3 } + 3 \right)\)
• B) \(\left( 8 x ^ { 3 } - 5 \right) \left( x ^ { 3 } + 3 \right)\)
• C) \(\left( 4 x ^ { 6 } + 5 \right) ( 2 x - 3 )\)
• D) \(\left( 4 x ^ { 3 } + 5 \right) \left( 2 x ^ { 3 } - 3 \right)\)

---

Definitions:

Individual Preferences

The personal likes or dislikes of an individual, which influence their decisions and behavior.

Social Preferences

Social Preferences indicate how individuals’ decision-making is influenced by the welfare of others, beyond self-interest.

Transitivity

In decision theory, the principle that if option A is preferred over B, and B is preferred over C, then A should be preferred over C.

Arrow's Impossibility Theorem

A theory indicating it is impossible to formulate a social preference ordering that satisfies all of a specific set of reasonable criteria when voters have three or more options.