Hello, good afternoon.

I need help with my precalc hw.

we are learning about finding zeros

I don't which method I should use for this problem:

if i is a zero of x^3+3x^2+ix+(4+i)

what do i do? synthetic divison? or long division?

when i did long division i got a werid polynomial with a lot of 'i's in them what do I do with that?

Thanks!

3 answers

Well, looking at the i in the end, you know one root has to be i. Start with it, and do division, I might suggest synthetic division.
what do u mean looking atthe end "you know one root has to be i" what does that mean?
you get

x^2+(3+i)x+(4i-1)

what do i do next?