The next release is supposed to support this. You can already test it in the current codebase though. Feedback on it would be welcome, as we can still change it completely until released. We do not yet provide specific polynomial root solvers but if you know a close enough range to a single root (you mentioned [0,1]) the generic root solvers may work as well to find real roots:
Since you know the form, we can leverage its derivative 3at^2+2bt+c. Or we can use a variant that doesn't need the derivative. Both methods accept an optional accuracy parameter (default 10^-8):
Since you know the form, we can leverage its derivative 3at^2+2bt+c. Or we can use a variant that doesn't need the derivative. Both methods accept an optional accuracy parameter (default 10^-8):
RealRoots.OfFunctionAndDerivative(t => Evaluate.Polynomial(t,d,c,b,a), t => Evaluate.Polynomial(t,c,2*b,3*a), 0, 1);
RealRoots.OfFunction(t => Evaluate.Polynomial(t,d,c,b,a), 0, 1);