Question

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.

1 - 6i is a zero of f(x) = x^4 - 2x^3 + 38x^2 - 2x + 37.

Answer 1

 Based on your question ask to find another zero off (x) 1-6i if 1-6i is root. since complex roots always appear in pairs. the other root must be its conjugate. so the possible value of the other zero is just the same root of the function f(x) and that is 1-6i