Question

I know there will be as many roots of a polynomial as the highest power. But, is there a way to distinguish real roots from complex ones?

Answer 1

not to be glib, but the real ones look like some number, and the complex ones come in conjugate pairs and look like \(a+bi\) and \(a-bi\)
when you graph you can see the real ones, it is where the curve crosses the \(x\) axis
you cannot see the complex ones

Answer 2

is there more to the question?

Answer 3

does Descarte's Rule of Signs predict the number of real roots and imaginary roots? if i remember right it does