Can someone help me with all a,b and c ?

10 Consider the function f defined by f(x) = =(x - 1)(8 - 3x) + 1. a Show that f(0) = 0 and f(3) = 0. b Show that f'(x) = (x - 1)-(9 - 4x) and specify the values of x for which f'(x) 2 0. c Sketch the graph of y = f(x)