Factor the Expression $$4 x ^ { 3 } + 32$$

question 58

Multiple Choice

Factor the expression. Factor out any greatest common factors first. $$4 x ^ { 3 } + 32$$

• A) \(4 ( x - 2 ) \left( x ^ { 2 } + 8 x + 4 \right)\)
• B) \(4 ( x + 4 ) \left( x ^ { 2 } + 4 x + 4 \right)\)
• C) \(2 ( x - 2 ) \left( x ^ { 2 } + 2 x + 4 \right)\)
• D) \(4 ( x + 2 ) \left( x ^ { 2 } - 2 x + 4 \right)\)
• E) \(2 ( x + 4 ) \left( x ^ { 2 } + 4 x - 16 \right)\)

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Definitions:

Cognitive Development

The progression of thinking, problem solving, and learning abilities throughout a person’s lifespan, often emphasizing stages and transitions.

Antisocial Behavior

Activities that harm or lack consideration for the well-being of others, often violating social norms and rules.

Imagining Feelings

The process of mentally simulating emotions that one may not currently be experiencing, often used in empathy and perspective-taking.

Sensorimotor Stage

The first stage in Piaget's theory of cognitive development, from birth to about age 2, where infants learn about the world through their sensory impressions and motor activities.