Factor F(x) into Linear Factors Given That K Is a Zero

question 333

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
$f ( x ) = x ^ { 4 } + 6 x ^ { 3 } + 7 x ^ { 2 } - 12 x - 18$ k= -3 (multiplicity 2)

• A) \(f ( x ) = ( x - 3 ) ( x + 3 ) ( x - \sqrt { 2 } ) ( x + \sqrt { 2 } )\)
• B) \(f ( x ) = ( x + 3 ) ^ { 2 } ( x - \sqrt { 2 } ) ( x + \sqrt { 2 } )\)
• C) \(f ( x ) = ( x + 3 ) ^ { 2 } ( x - 2 ) ( x + 2 )\)
• D) \(f ( x ) = ( x - 3 ) ^ { 2 } ( x - \sqrt { 2 } ) ( x + \sqrt { 2 } )\)

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