Sketch the following polynomial function without the help of Desmos. Show a logical step by step method. Do your work by hand and insert it into the quiz (upload an image, add a link, or use a video note) f(x) = 3(x + 2)2(x - 4) 1. Start with a quartic polynomial function, in standard form. Make sure that it is factorable. Hint: Make one up by starting with the factors and expand to get your polynomial. 2. Factor your polynomial. Use the factor theorem and repeated division. Explain each step and use proper math notation and vocabulary. Use one of the methods from class (Box method, Synthetic Division, Long Division). Hint: Use Desmos at each step to verify your work 3. Include a Desmos sketch of your polynomial function, and list as many key features I characteristics as you can think of