Question 4: (a) Simplify 127. [20 points] (b) Complete the following conjugation process and write answer in the form a + bi. 4-51 4-51 3-21 X 3+2i 3+21 3-21 (c) Use the discriminant, b2 - 4ac, to determine the nature of the roots (solutions) without solving the equation: 2x'+5x = -10 (d) Complete the table below by filling in the missing information: Vertex Axis of Symmetry Range Max/Min Value y-int 1=-4(x-2)3+3 y = (2 - x) (x+3) (e) An agency sells tickets for an opera. Based on previous experience, this agency has determined that the profit they can make on selling x tickets is given by the function P(x) = 120x -x" . What is the maximum profit they can expect to make and how many tickets do they have to sell in order to earn this maximum profit