Polynomial Functions. Please show work

7a. You are given f(x)= x* - 3x - kx - 5. When f(x) is divided by x + 3, the remainder is 166. i. 3 marks Determine the value of k.Use the remainder theorem here. ii. 1mark Use your value of k from part a. to determine the remainder when f(x) is divided by x - 3. b. 3 marks The following values are taken from the graph of a third degree polynomial function. X P(X) 1 O O Find the equation of the polynomial ( hint - don't forget to find a) c. 3 marks Given the polynomial function y = 2x + px- - qx - 4 is vertically stretched by a factor of a. The new form of the polynomial is y = a ( 2x + 1)(x - m)(x + n) and has a y intercept of - 6. Find a. Explain your work