P(x) = 24-13x + 55x2 -91x. a. Without doing any other work (graphing or algebraic), predict the number of solutions to this equation. Explain how you determined the number of solutions. b. Use your graphing calculator to support your prediction. Explain how your graph supports or changes your answer to part a. c. Given that 0 = 0 is a solution, how can you find other real solutions? If there are other real solutions, find them. Be sure to show how you know these are solutions. d. Find any non-real solutions. e. Write P(x) in factored form f. Suppose S(x) = P(-x). What can you say about the solutions to S(x) = 0