Precalc

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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!

  • Precalc -

    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.

  • Precalc -

    what do u mean looking atthe end "you know one root has to be i" what does that mean?

  • Precalc -

    you get

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

    what do i do next?

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