4:34 cdn.fbsbx.com Done Activity 2 NAME: Solving polynomial equations by factoring & solve equations involving absolute value Question 1 If you divide each side of x2 = x by x, you get x = 1. If you subtract x from each side of x? = x, you get x2 - x = 0, which has two solutions. Which method is correct? Explain. Question 2 Work within your group to examine the following solution to x2 - 2x = -1 x(x - 2) = -1 x =-1 or x- 2 =-1 x =-1 or x =1 Is this method correct? Explain. If incorrect, also show the correct solution. Question 3 Work within your group to examine the following steps in the solution to 5x2 - 5 = 0 5(x2 - 1) = 0 5(x - 1)(x + 1) = 0 x- 1=0 or x+1 =0 x =1 or x =-1 What happened to the 5? Explain.4:34 cdn.fbsbx.com Done 2 of 3 Question 3 Work within your group to examine the following steps in the solution to 5x2 - 5 = 0 5(x2 - 1) = 0 5(x - 1)(x + 1) = 0 x- 1=0 or x+1 =0 x =1 or x=-1 What happened to the 5? Explain. Question 4 The volume of water in a rectangular, in-ground, wading pool is given by v(x) = x3 + 11x2 - 4x, where v(x) is the volume in cubic feet when the water is x feet high. (a) Find the volume when x = 3 feet. (b) If the volume is 44 ft' of water, what is the height x? a) b) Question 5 Solve the equations below using the given method: A) Solve by factoring: 5k(3k + 2) = 24k + 84:34 cdn.fbsbx.com Done 3 of 3 Question 5 Solve the equations below using the given method: A) Solve by factoring: 5k(3k + 2) = 24k + 8 B) Solve by completing the square: x2 - 10x + 1 = 0 Question 6 Solve the following absolute value inequality and write your answer in interval notation and graph your solution set on a number line 4 + 3 - 3 29 K