2. Consider the function, The function f(x) = 2x³ + ax² − bx +3 has a factor (x + 3). When f(x) is divide by (x - 2), the remainder is

15. (a) Show that a = 3 and b = 8. (b) Find the other two factors of f(x). (c) Find axes intercepts for f(x). (d) Use calculus to find x-coordinates of turning point for f(x). Use √57 = 7.55 I (e) Sketch the graph of y = f(x). (3 marks) (3 marks) (2 marks) (3 marks) (3 marks)