Factor Completely $$5 x ^ { 5 } + 10 x ^ { 4 } y - 75 x ^ { 3 } y ^ { 2 }$$

question 45

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$5 x ^ { 5 } + 10 x ^ { 4 } y - 75 x ^ { 3 } y ^ { 2 }$$

• A) \(5 x ^ { 3 } ( x - 3 y ) ( x + 5 y )\)
• B) \(\left( 5 x ^ { 2 } + 15 x y \right) \left( x ^ { 3 } - 5 y \right)\)
• C) \(( x - 3 y ) \left( 5 x ^ { 4 } + 25 x y \right)\)
• D) \(5 x ^ { 3 } ( x + 3 y ) ( x - 5 y )\)

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Definitions:

Negative Symptoms

In psychology, especially in the context of schizophrenia, these refer to the absence of normal behaviors or feelings, such as social withdrawal or lack of emotion.

Schizophrenia

A long-term mental disorder involving a breakdown in the relation between thought, emotion, and behavior, leading to faulty perception, inappropriate actions and feelings, withdrawal from reality and personal relationships into fantasy and delusion, and a sense of mental fragmentation.

Flat Affect

A significant reduction in emotional expressiveness, where a person appears emotionally numb or unresponsive.

Schizophrenia

A brain disorder characterized by anomalies in thought patterns, sensory experiences, emotional responses, and social engagements.