"Matt beach" <email@example.com> wrote in message <firstname.lastname@example.org>... > actually, my function isn't a polynominal. It has arctan's, sqrt's, and sine's
Divide your function f(x) by x^n where n is the multiplicity of the zero at x=0. Then the new function g(x)=f(x)/x^n is different from 0 at x=0, but all other roots remain unchanged. Example: f(x)=x^2*(x-4) has a zero of multiplicity 2 at x=0. Dividing by x^2, you get g(x)=x-4. f(x) and g(x) both share the third root x=4.