Question

What are the possible numbers of positive, negative, and complex zeros of f(x) = -x6 - x5- x4 - 4x3 - 12x2 + 12 ?

Answer 1

this problem is an application of Descartes' Rule of Signs. I did a quick Internet search and came up with the following:

http://www.purplemath.com/modules/drofsign.htm

Please at least skim that article. After that, ask questions if you're not sure of how to get started.