# Conjectures about Complex roots of polynomials

- Author:
- Judah L Schwartz

- Topic:
- Root

In the right hand panel the function is plotted over the complex plane
The left hand panel shows the plane. The coordinates of the large
dot determine the values of and
Varying the values of and allow you to explore the real and
complex roots of the quadratic.
Why does the dot change color? Where is it red? green?
Can you make a conjecture about a similar construction for cubics? Can you prove it?