Factoring the Sum of Cubes or Difference of Cubes
Hold down the shift key and click and drag on the window to move the axes. Hold down the shift key and scroll down/up to zoom in/out. Choose either the sum of cubes or the difference of cubes and use the sliders to adjust a and b in the given equation and show its graph. Then select factor to see the factorization of the cubic as well as the graphs of each factor.
Examine the graphs using various values for a and b. What patterns do you find? Is there a pattern for the y-intercepts of the three graphs? What about the x-intercepts? How does the factorization of the sum of cubes differ from the factorization of the difference of cubes? What are their similarities?