A polynomial f (x) has the given zeros of 8, –1, and –3. Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations.

Part B: Divide the polynomial f (x) by (x2 – x – 2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote.

Part C: List all locations and types of discontinuities of the function g(x).