A system of linear equations can be used to find a polynomial that passes through a set of points. Suppose we want to find a quadratic of the form f(x) = ax² + bx + c that passes through the points (-1,3), (1,-3), and (2,6). By plugging each point into the general form of the equation, you can create a system of three equations involving the three parameters, a,b,c. Write the system of equations, then solve it. It's fine to use technology to solve the system, just be sure to show enough work so I can tell how you did it.