Name                          .   Math 152B Midterm I Please do all of the following problems.  Credit earned will be based on the steps that you show that lead to the final solution.  Good Luck!   Problem 1:  Factor the expression completely: A)   x4 - 9x2 Solution B)    x2 + 3x - 54 Solution C)    6x2 + 11x - 10 Solution D)    128xyz3 + 54x4y Solution     Problem 2:  Perform the indicated operations and express your answer in simplest form.   A       2x2 - x - 1     x2 - 6x + 8                            .                            Solution                          x2 - 5x + 4    2x2 - 3x -2 B       x2 + 2 xy + y2           y + x                                                  Solution                       x2 - x - 2                x - 2     Problem 3:  Solve the following equations   A.   x3 - 2x2 + x = 0 Solution   B.    4x2 = 15 - 4x Solution     Problem 4:  Solve the following inequalities   A.     |4 - 3x|  < 2 Solution   B.  |3x + 1| < 0 Solution   Problem 5:  There is a lookout post situated in the center of a 3 mile circular trail.  How far is the lookout post from the trail? Solution   Problem 6:  Please answer the following true or false and explain your reasoning. A.  If all terms of a trinomial are positive, all terms of both binomial factors will be positive  B.  The solution to the inequality |x - 4|  <  -1 is the interval [3,5].   Extra Credit:  Write down one thing that your instructor can do to make the class better. (Any constructive remark will be worth full credit)