Module 5 Performance Task on Polynomials:

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.

1. Sketch a drawing showing the dimensions of the box that will maximize the volume.

2. Use the formula for volume of a rectangular prism. Substitute in the sides from the drawing

above. Use polynomial multiplication to find the equation to maximize the volume of the box.

3. Graph the equation usingDesmos or on a graphing calculator.

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. All work must be shown.