You are volunteering for Habitat for Humanity. Your group is building a home for a family with a young son, Tommy, who would like a toy box. Habitat has limited resources and needs you to make a box that will hold the most toys out of a flat sheet of strong cardboard that is 4 feet wide and 8 feet long. 2. Use the formula for volume of a rectangular prism V = lwh . Substitute in the sides from the drawing above. Use polynomial multiplication to find the equation to maximize the volume of the box.

a. Identify the x-value that will maximize the volume.

b. Identify the zeros

c. Identify the y-intercept.

d. Solve the same polynomial by hand using factoring.