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

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

anonymous · Answer

this one is much easier

anonymous · Answer

if $a+bi$ is a zero, then so is the conjugate $a-bi$

mathmale · Answer

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

anonymous · Answer

therefore if $i$ is a zero then so it the conjugate $-i$

anonymous · Answer

tons tons easier than the last one right?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

yw (again)