!! used as default html header if there is none in the selected theme. Polynomial sweep

# 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 $t$.

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Set up
• Range of $x$ : $\phantom{\rule{thinmathspace}{0ex}}\left[-a,a\right]$,
• Range of $y$ : $\phantom{\rule{thinmathspace}{0ex}}\left[-b,b\right]$,
• Variation of $t$ : .
• Quality of animation : size fluidity -  + speed -  +
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