zeros of polynomials
I have a question about the zeros (roots) of polynomials. I have been sick the past couple of days and have a math test tomorrow, so asking my teacher may not be an option tomorrow.
The question(s) is, Is there a possibility that a polynomial function may not have any real solutions or real roots? If so, is there a way of finding the complex roots without a real root to begin with?
Thanks for reading (Happy)
Originally Posted by bigmac61293
I also have a great deal of curiosity on this.
If a polynomial has a degree higher than 2, is even, and has more than 2 term... can it be solved? Assuming that it has no real roots.
Originally Posted by integral
If the degree is 4 then not only can it be solved but we can do it by radicals using the formulae (which are extremely nasty) by Tartagglia and Ferrari. For equations of degree greater than 4 it was proved some 200 years ago that there is NO general formula by radicals to solve them.