The Three Roots of a Cubic Function
- Judah L Schwartz
This environment allows you to explore the following questions: Given three real numbers, how many cubic functions are there with those numbers as roots? How are these functions related to one another? Given a real number and a pair of complex conjugate numbers, How many cubic functions have these numbers as roots? How are these functions related to one another? Challenge – given two cubic functions with the same roots, can you transform one into the other?