Completely Factor the Polynomial $x ^ { 4 } - 6 x ^ { 3 } + 4 x ^ { 2 } + 6 x - 5$

question 6

Multiple Choice

Completely factor the polynomial $x ^ { 4 } - 6 x ^ { 3 } + 4 x ^ { 2 } + 6 x - 5$ given one of its factors is x-1 .

• A) \(( x - 1 ) ( x + 1 ) ( x + 5 ) ^ { 2 }\)
• B) \(( x - 9 ) ( x + 7 ) ( x - 1 ) ^ { 2 }\)
• C) \(( x + 1 ) ( x - 1 ) ( x - 5 ) ^ { 2 }\)
• D) \(( x - 5 ) ( x + 1 ) ( x - 1 ) ^ { 2 }\)
• E) \(( x - 1 ) ( x + 9 ) ( x - 7 ) ^ { 2 }\)

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Definitions:

Factors

Elements or conditions that contribute to a particular result or situation, often studied to understand complex processes or outcomes.

Alleviate Effects

The process of reducing the severity or intensity of negative outcomes or impacts.

Stress

A physical or emotional reaction to challenging or demanding circumstances.

Daily Stress

The frequent exposure to stressors within one's day-to-day life that can impact mental and physical health.