Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

Using Mathematica to Prove and Animate a Property of Cubic Polynomials
Author

A. Horwitz
Journal / Anthology

Proceedings of the 8th Annual ICTCM
Year: 1995
Description

We use Mathematica to prove that a tangent line to the graph of ay cubic polynomial with real roots, at a location halfway between any two roots, crosses the x-axis at the third root. Animation is used to show that the above property holds as the roots vary.
Subjects

*Mathematica Technology > Programming > Animations
*Mathematics > Algebra > Polynomials
*Mathematics > Calculus and Analysis