1. p(x) = 2x^4 -3x^3 -6x^2 5x 6 2. p(x) = x^4 4x^3 13x^2 36x 36 3. p(x) = 2x^5 - 9x^4 6x^3 22x^2 -20x -25 for each of the following 3 polynomials, do all of the following: Write the problem and its number. Be sure to have clear problem numbers, answers, and the corresponding work for EACH problem in order. List all of the possible rational roots. Then use synthetic division to test the possible rational roots and factor as far as possible. Identify complex roots, if any.Sketch a careful graph of the function. You must:
correctly show the end behavior
the shape of the graph near x-intercepts
(if relevant) anything you can learn by considering symmetry and transformations