The Three Roots of a Cubic Function
- Author:
- Judah L Schwartz
- Topic:
- Functions
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?