anonymous
  • anonymous
How do you find the complex roots of a polynomial?
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Do you have an example? The process could be different depending on what you have.
anonymous
  • anonymous
4x^3 – 12x + 9 = 0 Something like this... The example my teacher gave to me said that because equation has a degree of 3 it has 3 complex roots... and i think im interpreting that wrong
anonymous
  • anonymous
Its impossible to have 3 complex roots. There can only be an even number of roots.

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anonymous
  • anonymous
even number of complex I mean
anonymous
  • anonymous
he said that for imaginary roots
anonymous
  • anonymous
Yeah, complex roots and imaginary roots you can consider to be the same thing. There must be an even number of imaginary roots. So this cubic either has 2 imaginary roots or 0.
anonymous
  • anonymous
okay so it can be either one? or do i have to find out which one?
anonymous
  • anonymous
Yes, you might have 2 imaginary or you might have 0 imaginary. You would want to ty and see if you could factor the cubic and find its zeros first.
anonymous
  • anonymous
Okay! Thanks for clearing that up for me!
anonymous
  • anonymous
Mhm, sure. If you had to actually do this problem, though, it appears that it wont factor cleanly. The best you could do is show that it does have 1 real zero and that there cant be another real zero. So yeah, this problem has 2 imaginary roots.
anonymous
  • anonymous
Thanks!
anonymous
  • anonymous
No problem

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