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 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).