Roots of Polynomials

Graphs a polynomial function P(x) with given real roots, showing the relationship between the roots and the coefficients of the polynomial.
How to use   ||   Examples   ||   Other Notes

How to use
The text input fields for the leading coefficient an and for the roots c1 to cn accept any decimal number. The buttons under the graph allow various manipulations of the graph coordinates.

Other Notes
The labels marked "a0=", "a1=", etc., show the values of the coeficients a0, a1, etc., of the polynomial P(x) when multiplied out. As the roots ci change, the values of the coefficients ai are updated automatically.

Multiple roots can be explored by making the values of two or more of the roots equal. Note however that irreducible quadratic factors of polynomials, which yield complex roots, are not supported by this applet.