matematicas visuales visual math

Complex polynomial of degree 3

A complex polinomial of degree 3 has three zeros.

We start seeing the polynomial representation when the zeros are roots of unity.

When we dragg the zeros or roots we can see the general polynomial function

We can dragg (slowly) the points which represent these roots. In some cases, some of these zeros can have multiplicity 2 or 3.

Zero multiplicity is represented by the times that the color cicle (red-green-blue) is shown around the point.

LINKS

Polynomial of degree n
Polynomial of degree n
Every complex polynomial of degree n has n zeros or roots.
Polynomial of degree 3 with 3 real roots
Polynomial of degree 3 with 3 real roots
We can see how the graph of a polynomial of degree three with three real roots changes when we change a root.