Wolfram Demonstrations Project

The selected polynomial is real over the set of points

in the complex plane shown in black. The corresponding real values are plotted vertically over

in blue and green (the real graph). The zeros of the polynomial are shown as red points.

The real graph of

, that is, the graph of

over the set

of points

in the domain of

such that the imaginary part of

is zero, is a visible three-dimensional object. The zeros of

are the intersections of the real graph of

with the complex plane.

Contributed by: Winston Alarcón-Athens (UCR, Costa Rica)

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The Real Graph of Quadratics, Cubics, and Quartics