For the following higher degree polynomial function, f(x) =2x3 - x2 - 10x a) Factor the function fully (show the method with all the steps) and state both the x and y intercepts as coordinate points. b) Apply the Leading Coefficient Test and explain what the result means. c) Apply the Multiplicity Test and explain what the result means. d) Sketch the above function using DESMOS and then analyze the graph by answering the following questions, using the correct notation. Do NOT submit the graph with your solution. Coordinates of the local maxima Coordinates of the local minima Interval(s) of increase in interval notation Interval(s) of decrease in interval notation Left side end-behaviour Right side end-behaviour OCT 16 atv 4 O Aa