Find all zeros of the function $f ( x ) = ( x + 6 ) ( x + 3 i ) ( x - 3 i )$.
A) $x = 6 , - 3 i , 3 i$
B) $x = - 6,3 i$
C) $x = - 6 , - 3,3$
D) $x = - 6 , - 3 i , 3 i$
E) $x = - 6$

Question

Quizplus · Accepted Answer

The zeros of the function are found by setting each factor in the function equal to zero. Thus, the zeros are $x = -6$, $x = -3i$, and $x = 3i$.

Find All Zeros of the Function f(x)=(x+6)(x+3i)(x−3i)f ( x ) = ( x + 6 ) ( x + 3 i ) ( x - 3 i )f(x)=(x+6)(x+3i)(x−3i)

Find All Zeros of the Function $f ( x ) = ( x + 6 ) ( x + 3 i ) ( x - 3 i )$