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puppy33
ow could you use Descartes' rule and the Fundamental Theorem of Algebra to predict the number of complex roots to a polynomial as well as find the number of possible positive and negative real roots to a polynomial?
descartes rule tells you the number of possible positive / negative roots (an upper bound) not the exact amount..
fundamental thm. says " every non-constant single-variable polynomial with complex coefficients has at least one complex root." -- http://en.wikipedia.org/wiki/Fundamental_theorem_of_algebra
what could be a good example of that ?
it just says number. so I refer you to the wonderful examples on the wikipedia pages :)