The graph below shows a polynomial $y = f(x)\text{.}$ Answer the following questions in order to write the formula for $f(x)\text{.}$

1. The $x$-intercept $(-4, 0)$ means the formula will have a linear factor of:
2. The $x$-intercept $(-1, 0)$ means the formula will have a linear factor of:
3. The $x$-intercept $(2, 0)$ means the formula will have a linear factor of:
4. The end-behavior of the polynomial is the same as ? x^2 x^3 -x^2 -x^3
5. Now put all of these facts together in order to write the formula for the polynomial: $f(x) =$