Can MATLAB easily solve a system of polynomial equations?

Hey, I have a quick MATLAB question that might seem obvious, but I just can't find any documentation that can figure out my issue.

Let's say you have a system:

R = A x^2 + B x + C

S = 4A x^2 + 5B x + 2C

T = 5A x^2 + 8B x + 4C

Is there a way to solve for A, B,and C directly through MATLAB? Thanks.

[Azzi Abdelmalek]

What are your unknown vatriables?

Answer 1

[Azzi Abdelmalek]

If x is the unknown variable

v=[A B C -R]
roots(v)

Do this to all your equations, then find the intersection

Answer 2

[ARF]

You want to solve for A, B, and C. So assuming that the rest of variables are given, you find the solution by:

ABC = [x^2 x C; 4*x^2 5*B 2*C; 5*x^2 8*B 4*C]\[R; S; T];
A = ABC(1);
B = ABC(2);
C = ABC(3);