Factor Completely $3 x ^ { 3 } + 6 x ^ { 2 } y - 45 x y ^ { 2 }$

question 79

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $3 x ^ { 3 } + 6 x ^ { 2 } y - 45 x y ^ { 2 }$

• A) \(3 x ( x - 3 y ) ( x + 5 y )\)
• B) \(\left( 3 x ^ { 2 } + 9 x y \right) ( x - 5 y )\)
• C) \(( x - 3 y ) \left( 3 x ^ { 2 } + 15 x y \right)\)
• D) \(3 x ( x + 3 y ) ( x - 5 y )\)

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Definitions:

Denial

A psychological defense mechanism where a person refuses to accept reality or facts, thus avoiding a potentially distressful truth.

Anger

A strong feeling of annoyance, displeasure, or hostility triggered by perceived wrongs.

Shock

A sudden and often negative emotional or physical reaction to an unexpected event.

Endings Phase

The final stage of a process or relationship, where closure or conclusion occurs.