In this post, I'll explore an example of finding the roots of a plynomial using Bairstow's method, as previously explained in an earlier post. The initial values for $r$ and $s$ are set to $-1$, and ${\varepsilon _s} = 1\% $. Similar to conventional synthetic division, recursive relations are used to perform the division by the quadratic factor, as follows. Therefore, the simultaneous equations ..