Unity coefficient in symbolic polinomial

Hello,

When working with symbolic polynomials, they are always expressed in the form

a_n*s^n+...a_1*s+a_0

is there a way to express the polynomial in the form

a_n*(s^n+...a_1'*s+a_0')
a_i'= a_i/a_n

I would find this useful as I'm working with transfer functions, and with lots of expressions it's time-consuming to make the factorization by hand. Thanks!

Answer 1

[Star Strider]

This is one approach:

syms x s 
f = 5*x^3 - 3*x^2 + 2*x - 1;

polynrm = @(p,v) vpa(poly2sym(poly(roots(sym2poly(p))), v));

a = polynrm(f,s)

a =
s^3 - 0.6*s^2 + 0.4*s - 0.2

This creates an anonymous function you can use to normalise the polynomials. The first argument is the polynomial, and the second is the variable you want to express it in.

This obviously only works with numeric coefficients. I could not find specific functions, or function options, to do this.