Worked Example 2
Given that the equation [latex]{{z}^{3}}-4{{z}^{2}}+6z-4=0[/latex] has a root [latex]1-\mathbf{i}[/latex], find the remaining roots of the equation.
Given that the equation [latex]{{z}^{3}}-4{{z}^{2}}+6z-4=0[/latex] has a root [latex]1-\mathbf{i}[/latex], find the remaining roots of the equation.