1. The polynomial function p(x) = x3 - 3x2 - 10x + 24 has a known factor of (x - 4). a. Rewrite p(x) as the product of linear factors. b. Draw a rough sketch of the graph of the function. somight 2. Tyler thinks he knows one of the linear factors of P(x) = x3 - 9x + 23x - 15. After finding that P(1) = 0, he suspects that x - 1 is a factor of P(x). Here is the diagram he made to check if he's right, but he set it up incorrectly. What went wrong? 8x -15 X 8x - 15x - 8x -15 3. The polynomial function q(x) = 2x4 - 9x3 - 12x2 + 29x + 30 has known factors (x -2) and (x + 1). Which expression represents q(x) as the product of linear factors? a. (2x - 5) (x + 3)(x - 2)(x+1) b. (2x + 3)(x - 5)(x - 2)(x + 1) c. (2x + 15)(x - 1)(x - 2)(x + 1) d. (2x - 15)(x + 1)(x - 2) (x + 1)