Factor the Polynomial Completely $48 x ^ { 3 } y + 42 x y ^ { 6 }$

question 6

Multiple Choice

Factor the polynomial completely.
- $48 x ^ { 3 } y + 42 x y ^ { 6 }$

• A) \(6 y \left( 8 x ^ { 3 } + 7 x y ^ { 5 } \right)\)
• B) \(x y \left( 48 x ^ { 2 } + 42 y ^ { 5 } \right)\)
• C) \(6 x y \left( 8 x ^ { 2 } + 7 y ^ { 5 } \right)\)
• D) \(6 x \left( 8 x ^ { 2 } y + 7 y ^ { 6 } \right)\)

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Definitions:

Defense Mechanism

Psychological strategies brought into play by the unconscious mind to manipulate, deny, or distort reality in order to defend against feelings of anxiety and unacceptable impulses and to maintain one's self-schema.

Regression

A psychological defense mechanism where an individual reverts to an earlier stage of development in response to stress or conflict.

Reaction Formation

A psychological defense mechanism where an individual behaves in a manner opposite to their actual feelings or impulses often due to guilt or societal pressures.

Five-Factor Model

A model that outlines five broad dimensions of human personality: openness, conscientiousness, extraversion, agreeableness, and neuroticism.