Using the given zero, find one other zero of f(x). 3 - 6i is a zero of f(x).= x4 - 6x3 + 46x2 - 6x + 45.

One other zero of f(x) is (3+6i)

Step-by-step explanation:

we know that

The Conjugate Zeros Theorem states that if a complex number a + bi is a zero of a polynomial with real coefficients then the complex conjugate of that number, which is a - bi, is also a zero of the polynomial

In this problem we have

Is a polynomial with real coefficients

so

If (3-6i) is a zero of f(x)

then

The complex conjugate of that number, is also a zero of the polynomial

The complex conjugate is (3+6i)

therefore

One other zero of f(x) is (3+6i)

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.