Quiz (Polynomial Functions of Degree Greater Than 2)

Show all work and justify each step.

(1) Consider the polynomial function where

    (a) Sketch the graph.
    
    (b) What is the -intercept.
    
    (c) What is the solution to
    
    (d) What is the solution to
    
(2) Find the missing constants or zeros.

    (a) If find a number such that the graph of contains the point
    
    (b) If one zero of is find two other zeros.
    
    (b) If one zero of is find two other zeros.
    
(3) Sketch the graph of the function by (i) applying the Leading Coefficient Test, (ii) find the zeros of the polynomial, (iii) plotting sufficient solution points, and (iv) drawing a continuous curve through the points.

    (a)
    
    (b)
    
    (c)
    
    (d)
    
    (e)
    
    (f) [use part (e)]