Question

Using the given zero, find one other zero of f(x).
i is a zero of f(x).= x^4 - 2x^3 + 38x^2 - 2x + 37

Answer 1

What do you know about complex zeros/roots of a polynomial?

Answer 2

not much i know that i is square root of -1

Answer 3

Complex roots of a polynomial come in conjugate pairs: if a+bi is a root of a polynomial P(x), then a-bi is also a root of P(x).

Given that, what must another root of f(x) be?