The three roots of a cubic function
- Author:
- Jeremy Orloff
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 find a formula relating them?
What information do you need to compute do the computation?
This worksheet is a small modification of a worksheet of the same name created by Judah Schwartz: https://tube.geogebra.org/user/profile/id/25758