Question

Using the given zero, find one other zero of f(x).
i is a zero of f(x).= x4 - 2x3 + 38x2 - 2x + 37.

-1 + i

-i

-1 - i

1

Answer 1

this one is much easier

Answer 2

if \(a+bi\) is a zero, then so is the conjugate \(a-bi\)

Answer 3

Hales: Know synthetic division? If so, this problem is pretty easy. But what method to YOU want to use?

Answer 4

therefore if \(i\) is a zero then so it the conjugate \(-i\)

Answer 5

tons tons easier than the last one right?

Answer 6

unless of course you are asked to find all the zeros, which you are not in this case, but you could

Answer 7

That's what I was thinking, but I just needed some clarification. Thanks again (:

Answer 8

yw (again)