Abstract
ABSTRACTA systematic method, which combines graphical, analytical, and numerical techniques, is presented for finding the roots of a polynomial P0(s) of any degree. Real roots are first found by a simple graphical method, and then the purely imaginary roots are found by the Hurwitz test. When all the real and purely imaginary roots are removed from P0(s), the remainder polynomial P2(s) will have only complex conjugate roots and hence will be of even degree. When this degree is 2, the roots are obvious. For P2(s) of degree 4, a variation of a previously published analytical method, combined with a graphical display, is presented which is easier to apply. When the degree of P2(s) is greater than 4, only numerical methods have to be used.
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