# 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(x) 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(x) vary following the variation of t.

Examples of polynomials under variation are at your disposal.

P(x) =

• Range of x : [-a , a], where a =
• Range of y : [-b , b], where b =
• Variation of t : from to .
• Quality of animation : size -+,  fluidity -+,  speed -+.

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