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.

Enter your polynomial:

Set up
  • Range of x : [a,a],
  • Range of y : [b,b],
  • Variation of t : .
  • Quality of animation : size -  + fluidity -  + speed -  +