Write $f ( x ) = x ^ { 5 } - 6 x ^ { 4 } + 15 x ^ { 3 } - 18 x ^ { 2 } + 10 x$

Multiple Choice

Write $f ( x ) = x ^ { 5 } - 6 x ^ { 4 } + 15 x ^ { 3 } - 18 x ^ { 2 } + 10 x$ as a product of linear factors given that $2 - i$ and $1 - i$ are zeros of the polynomial.

A) $( x - 2 + i ) ^ { 3 } ( x - 1 - i ) ^ { 2 }$
B) $x ^ { 2 } ( x - 2 - i ) ( x - 1 + i ) ( x - 1 - i )$
C) $x ( x - 2 + i ) ( x - 2 - i ) ( x - 1 + i ) ( x - 1 - i )$
D) $x ^ { 3 } ( x - 2 - i ) ( x - 1 - i )$
E) $( x - 2 - i ) ^ { 2 } ( x - 1 - i ) ^ { 3 }$