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

Answer:One other zero of f(x) is (3+6i)Step-by-step explanation:we know thatThe 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 polynomialIn this problem we have [tex]f(x)=x^{4}-6x^{3}+46x^{2}-6x+45[/tex]Is a polynomial with real coefficientssoIf (3-6i) is a zero of f(x)then The complex conjugate of that number, is also a zero of the polynomialThe complex conjugate is (3+6i)thereforeOne other zero of f(x) is (3+6i)