This app computes and plots the zeros of a random polynomial
\(
\quad f(z) = \displaystyle \sum_{j = 0}^n \alpha_j \; f_j(z)
\)
where
\( \alpha_j \) are independent N(0,1) random variables and
\( f_j(z) \) =
Inspired by discussions with my colleagues
Amir Ali Ahmadi
and
Boris Hanin
it also computes and plots the roots of all of its derivatives.

Click here for a
version that generates random roots to make the polynomial.

Click here for a webpage that computes just zeros of random polynomials.

Provide the degree of the polynomial:
n =
and click

Select how many polynomials:
numpoly =

The zeros of the polynomial and its derivatives are shown in a rainbow of colors (ROYGBIV).