8. (8 pts) Given the polynomial f (x) = x3 + x2 - 8x - 12 answer each of the following. a. State the y-intercept (x = 0). b. State the degree and what it tells you about the graph of the function. C. Using Descartes' rule of signs, state the number of possible real roots (zeros). d. Use the rational root theorem to state all possible rational roots. e. Using either synthetic division or long division find real roots from your list. f. Use your previous answer to rewrite the equation as the product of linear and/or irreducible quadratic factors. g. Evaluate other points and sketch the function