Polynomial $f(x)$ degree problem. Suppose the polynomial $f(x)$ is of degree $3$ and satisfies $f(3)=2$, $f(4)=4$, $f(5)=-3$, and $f(6)=8$. Determine the value of $f(0)$.
How would I solve this problem?  It seems quite complicated...

Let the polynomial be $f(x)=ax^3+bx^2+cx+d$. The numbers a,b,c,d are unknown.
Now, use  f(3)=2, f(4)=4, f(5)=-3, and f(6)=8. You have 4 unknowns and 4 equations.
