4. Factor the following function using synthetic division HI) = x3 11: + 6 5. Factor the following expressions so that the second factor contains no negative exponents and no fractional coefficients. 4 3 4 o _ __ a. 231' 3; +421 3.: [1233: s agate 10. Rewrite each absolute value expression without the use of absolute value signs. You may want to begin by performing sign analysis of the expression for some of the tougher questions. Write your solutions in the form we did in class bl = -b, if (b, if a. [x - 8| b. |x2 + 7x + 101 c. |x - 51 - 1x + 21 11. Use the operation properties of absolute value to prove each of the following statements. a. (16 - 4x) = 4/x - 4| b. 1-a5| = la|512. Solve each of the following EQUATIONS. Specify your solution set { a. 13 - 4x| = 15 b. |xz + 13x| = -36 c. |15 - 2t| = t + 6 d. (x + 1| + |x -51 =9 13. Solve each of the following inequalities. Specify your solution set using set and interval notation. a. 13 - 2x| $ 13 b. (x2 - 2x - 13| > 2