MATLAB: Creating a coefficient matrix for a polynomial

coefficient matrixMATLABmatrixpolynomialsymbolic

I have a function f(x) = a_0 +a1*x+a2*x^2+a3*x^3

I need to create a matrix such that

row 1 contains f(0) term as first element and other terms as 0 0 0

row 2 is coefficients of differentiation of f(x) at 0 which would be 0 1 0 0

row 3 is coefficients of f(x) at x = L i.e [1 L L^2 L^3]

Adding to Walter comment you can also try creating required matrix leveraging syms , coeffs , diff.

I've got a sol. for those who are in the same situation

try using >>>subs()

for ex.

[subs(f,{x,y,z},{0,0,1}) subs(f,{x,y,z},{0,1,0}) subs(f,{x,y,z},{1,0,0})]

result is

ans = [0 3 2]

Read about vpasolve.

syms x 
F = (x^2+1)/(x+1)+(2*x^2+3)/(x+2)==0 ;
r = vpasolve(F)