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

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) $f ( x ) = ( x - 5 ) ^ { 2 } ( x - 10 )$