Polynomial sweep

The aim of the tool is to visually illustrate the relation between the coefficients of a polynomial and the geometric properties of this polynomial (its curve and its roots).

To use this tool, please enter a polynomial $P$ of one variable $x$, with some coefficients parametrized by a variable $t$. You will then see an animated picture with the roots and the curve of $P$ vary following the variation of $t$.

Examples of polynomials in variation.

• Description: Graphs and roots of a polynomial, with animated deformation. interactive exercises, online calculators and plotters, mathematical recreation and games
• Keywords: interactive mathematics, interactive math, server side interactivity, algebra, geometry, polynomials, roots, animation, plot, graphing