Box construction. A box with an open top is to be constructed from a rectangular piece of...

Box construction. A box with an open top is to be constructed from a rectangular piece of cardboard with length 36 inches and width 16 inches by cutting out squares of equal side length x at each cor­ner and then folding up the sides, as shown in the accompanying figure. Write a completely factored polynomial whose values give the volume of the box (volume = length × width × height).