Factor f(x) into linear factors given that k is a zero of f(x).
-$f ( x ) = 3 x ^ { 3 } + ( 5 - 3 i ) x ^ { 2 } + ( - 11 - 8 i ) x + 3 + 3 i ; k = 1 + i$
A) $( x + ( 1 + i ) ) ( x - 3 ) ( 3 x + 1 )$
B) $( x - ( 1 + i ) ) ( x + 2 ) ( 3 x - 1 )$
C) $( x - ( 1 + i ) ) ( x - 3 ) ( 3 x + 1 )$
D) $( x - ( 1 + i ) ) ( x + 3 ) ( 3 x - 1 )$

Question

Quizplus · Accepted Answer

The Answer of Factor f(x) into linear factors given that k is a zero of f(x).
-$f ( x ) = 3 x ^ { 3 } + ( 5 - 3 i ) x ^ { 2 } + ( - 11 - 8 i ) x + 3 + 3 i ; k = 1 + i$
A) $( x + ( 1 + i ) ) ( x - 3 ) ( 3 x + 1 )$
B) $( x - ( 1 + i ) ) ( x + 2 ) ( 3 x - 1 )$
C) $( x - ( 1 + i ) ) ( x - 3 ) ( 3 x + 1 )$
D) $( x - ( 1 + i ) ) ( x + 3 ) ( 3 x - 1 )$

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