Coincidence Polyroots --- Introduction ---

This module is a graphical exercise on roots of polynomials.

According to the Fundamental Theorem of Algebra, any polynomial of degree d has exactly d complex roots.

The server presents to you a picture representing the complex plane, with a certain number of marked points. Your goal will be to find a polynomial having the marked points as roots. You can try several times, and your best reply will be taken into account to compute a score attributed to you. The computation of the score is based on the difference between the coefficients of your polynomial and that of one giving exactly the marked points as roots.

Type of the polynomial: of degree and having coefficients.

The leading coefficient of the polynomial is .

Number of tries allowed: . Severity of the score:

Other exercises on: Coincidence   Polynomials   Roots  

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Description: find a polynomial according to the positions of its roots. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, algebra, polynomial, roots, coefficients, complex numbers, complex plane