Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated list. Include the given zero in your answer.) Function Zero f(x) = x3 + x2 + 36x + 36 6i

Question

Use the given zero to find all the zeros of the function. (Enter your answers as a comma-separated list. Include the given zero in your answer.)

Function	Zero
f(x) = x3 + x2 + 36x + 36	6i

Answer 1

imaginary zeros come in conjugate pairs

if 6i is a zero, then -6i is another zero

x= 6i

x^2 = -36

x^2 + 36 is a factor of x^3 +x^2 +36 +36

divide to get another factor x+1

x =-1 is the 3rd zero

-6i, 6i, -1 are the three zeros, two imaginary, one real