Chapter 11 - Section 11.3 - Solving Equations by Using Quadratic Methods - Exercise Set - Page 790: 80

Answers may vary. One possible equation is $x^3-4x=0$

$0$, $2i$, and $-2i$ are solutions $x=0$ $x=2i$ $x=-2i$ $(x)(x-2i)(x+2i)$ $((x*x+x*2i+x*(-2i)+(-2i)(2i)))*x$ $(x^2+2xi-2xi-4i^2)*x$ $(x^2-4i^2)*x$ $(x^2-4(\sqrt {-1}*\sqrt {-1}))*x$ $(x^2-4(\sqrt {-1*-1}))*x$ $(x^2-4(\sqrt 1))*x$ $(x^2-4(\sqrt 1))*x$ $(x^2-4*1)*x$ $(x^2-4)*x$ $x^3-4x$