Hi here i have a grade 12 advanced function question of the polynomial function unit.

would you please provide a full solution. thank you

2. Based on research, the marketing team at Best of U Me predicts that when the price of a bottle of a new shampoo is x dollars, the number, D, in hundreds, of bottles sold per month can be modelled by the function D(x) = -x3 + 8x2 + 9x + 100. a) How many bottles of shampoo are sold per month when the price of each bottle is $5? ( 2 marks) b) Determine the value of x that will result in sales of 17,200 bottles of shampoo per month. Interpret this answer. ( 3 marks)