Completely Factor the Polynomial or State That the Polynomial Is $$x ^ { 3 } - 216$$

question 93

Multiple Choice

Completely factor the polynomial or state that the polynomial is prime.
- $$x ^ { 3 } - 216$$

• A) \(( x - 6 ) \left( x ^ { 2 } + 6 x + 36 \right)\)
• B) \(( x - 6 ) \left( x ^ { 2 } + 36 \right)\)
• C) \(( x + 216 ) \left( x ^ { 2 } - 1 \right)\)
• D) \(( x + 6 ) \left( x ^ { 2 } - 6 x + 36 \right)\)

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Definitions:

Object Permanence

The understanding that objects continue to exist even when they cannot be observed.

Baillergeon

Refers to developmental psychologist Renee Baillergeon, known for her research in infant cognition, particularly in the areas of object permanence and physical reasoning.

Preoperational Stage

The preoperational stage is the second stage in Piaget's theory of cognitive development, occurring approximately between the ages of 2 and 7, characterized by symbolic thinking and egocentrism but a lack of logical operations in thinking.