If a polynomial function f(x) has roots 8, 1, and 6i, what must also be a root of f(x)?

Since the polynomial function has a complex root, it is important to note that complex roots occur in conjugate pairs when dealing with polynomials with real coefficients. In this case, the root 6i has a conjugate of -6i. Therefore, if 6i is one of the roots, -6i must also be a root of the polynomial function f(x).