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

question 312

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- $\mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 3 } - 75 \mathrm { x } - 250 ; \mathrm { k } = - 5$ (multiplicity 2 $)$

• A) \(f ( x ) = ( x + 5 ) ^ { 2 } ( x + 10 )\)
• B) \(f ( x ) = ( x + 5 ) ^ { 2 } ( x - 10 )\)
• C) \(f ( x ) = ( x + 10 ) ( x + 5 ) ( x - 5 )\)
• D) \(f ( x ) = ( x - 5 ) ^ { 2 } ( x - 10 )\)

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