CW 9.2 MATH 112 All solutions for CW must be in the form: Identify the problem (number and the direction) (-3% I if not). Solutions must be handwritten (up to - 25%). Solutions must be in ascending order (up to - 25%). Give a full and detailed solution to each problem step by step (missing step -3% ). Identify each step in the format: 1), 2)... (-1% ). Write the answer (-3%). Note. For more information read the Grading Rubric DF on Blackboard Section 3.3 Factor Theorem 1. Use synthetic division and the factor theorem to determine if the given polynomial (x-4) is a factor of f(x) = x*- 10x3+ 35x2 - 50x + 24. See Example 8, Section 3.3 2. a) Use synthetic division to factor f(x) = 9x3 - 33x7 + 19x -3, given that 3 is a zero of f(x) and b) Solve the equation 9x* - 33x3 + 19x -3= 0. See Section 3.3 Example Section 3.4. Zeroes of Polynomials 3. List all possible rational zeroes. If not, explain why. See Section 3.4 Example 1 a) f(x) = 2x* - 5x + 8 _b) f(x) = 2.5x* - 5x + 8 4. Find all actual zeros of the quadratic trinomial f(x) = x2 + x -2 by using the rational zero theorem Note. First, find all possible zeroes using the Rational Zero Theorem. Second, determine the actual zeroes using synthetic division