Han finds an expression for \(S(r) \) that gives the surface area, in square inches, of any cylindrical can with a specific fixed volume, in terms of its radius \(r\), in inches. This is the graph Han gets if he allows \(r\) to take on any value between -1 and 5.

1. What would be a more appropriate domain for Han to use instead?
2. What is the approximate minimum surface area for the can?

The graph of a polynomial function \(f\) is shown. Is the degree of the polynomial even or odd? Explain your reasoning.

The polynomial function \(p(x)=x^4+4x^3-7x^2-22x+24\) has known factors of \((x+4)\) and \((x-1)\).

1. Rewrite \(p(x)\) as the product of linear factors.
2. Draw a rough sketch of the graph of the function.

Which polynomial has \((x+1)\) as a factor?