Chapter 4, Problem 24P

The graph of the function $f(x)=a{x}^3+b{x}^2+cx+d$ passes through the points (-1.2, 18.8), (0.2, 5), (2, 16), and (3.5, 15). Determine the constants a, b, c, and d. (Write a system of four equations with four unknowns, and use MATLAB to solve the equations.)