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

question 16

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) \(( x - 9 ) ( x + 1 ) ( x - 8 ) ^ { 2 }\)
• B) \(( x + 1 ) ( x - 5 ) ( x - 9 ) ^ { 2 }\)
• C) \(( x + 5 ) ( x - 1 ) ( x + 1 ) ^ { 2 }\)
• D) \(( x + 1 ) ( x - 6 ) ( x + 5 ) ^ { 2 }\)
• E) \(( x - 5 ) ( x + 1 ) ( x + 8 ) ^ { 2 }\)

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