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

Question 367

Multiple Choice

Factor f(x) into linear factors given that k is a zero of f(x) .
- f(x) =x4+14x3+44x270x245;k=7f ( x ) = x ^ { 4 } + 14 x ^ { 3 } + 44 x ^ { 2 } - 70 x - 245 ; k = - 7 (multiplicity 2)


A) f(x) =(x7) (x+7) (x5) (x+5) f ( x ) = ( x - 7 ) ( x + 7 ) ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )
B) f(x) =(x+7) 2(x5) (x+5) f ( x ) = ( x + 7 ) ^ { 2 } ( x - 5 ) ( x + 5 )
C) f(x) =(x+7) 2(x5) (x+5) f ( x ) = ( x + 7 ) ^ { 2 } ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )
D) f(x) =(x7) 2(x5) (x+5) f ( x ) = ( x - 7 ) ^ { 2 } ( x - \sqrt { 5 } ) ( x + \sqrt { 5 } )

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