Factor the Trinomial, If Possible $$x ^ { 3 } + 4 x ^ { 2 } y - 24 x y ^ { 2 }$$

question 528

Multiple Choice

Factor the trinomial, if possible.
-4x $$x ^ { 3 } + 4 x ^ { 2 } y - 24 x y ^ { 2 }$$

• A) \(\left( 4 x ^ { 2 } + 8 x y \right) ( x - 3 y )\)
• B) \(( x - 2 y ) \left( 4 x ^ { 2 } + 12 x y \right)\)
• C) \(4 x ( x - 2 y ) ( x + 3 y )\)
• D) \(4 x ( x + 2 y ) ( x - 3 y )\)

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Definitions:

Affect

A psychological term referring to the underlying experience of feeling, emotion, or mood.

ABC Model

A cognitive-behavioral framework that describes the relationship between events, beliefs, and consequences, emphasizing how beliefs about an event affect emotional and behavioral responses.

Emotional Component

A part of attitudes and feelings that encompasses the emotional reactions one has towards an object, person, or situation.

Affect

The experience of feeling or emotion, which is an essential part of the process of an individual's interaction with stimuli.