Step 1 :The degree of a polynomial is the highest power of the variable in the polynomial. In this case, we need to expand the polynomial to find out its degree.
Step 2 :The polynomial is \((x - 4)*(x + 8)\).
Step 3 :When expanded, the polynomial becomes \(x^2 + 4x - 32\).
Step 4 :The degree of the polynomial is 2. Therefore, the polynomial could be used to represent an area.
Step 5 :Final Answer: The degree of the polynomial \((x-4)(x+8)\) is \(\boxed{2}\), and it could be used to represent \(\boxed{area}\).