1. Complete the square for the expression and then factor the resulting perfect square trinomial. 2 x +14x The factored perfect square trinomial is_______. (Simplify your answer. Use integers or fractions for any numbers in the expression.) 2. Complete the square for the binomial and factor the resulting perfect square trinomial. x212x Complete the square___________. 3. Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. 2 x +21x+___ What is the constant term? (Type an integer or a simplified fraction.) 4. Find the perfect square trinomial whose first two terms are x21/6x and then factor the trinomial. 2 The perfect square trinomial is x 1/6x+1/____. 5. Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x2 + 2/5x What is the constant that should be added to the binomial so that it becomes a perfect square trinomial? (Type an integer or a simplified fraction.) 6. Solve the equation by completing the square. 2 x + 14x+4=0 (Use a comma to separate answers as needed. Express complex numbers in terms of i. Type an exact answer, using radicals as needed.) 7. Solve the equation by completing the square. x24x=17 x=______ (Use a comma to separate answers as needed. Express complex numbers in terms of i. Type an exact answer, using radicals as needed.) 8. Solve the equation by completing the square. 2 x 12x=32 x= (Use a comma to separate answers as needed. Express complex numbers in terms of i. Type an exact answer, using radicals as needed.) 9. Solve the equation by completing the square. x2 /2 +5/2x=2 X=_____ (Use a comma to separate answers as needed. Express complex numbers in terms of i. Type an exact answer, using radicals as needed.) 10. Solve the equation by completing the square. 2 2y +10y=minus11 y= (Use a comma to separate answers as needed. Express complex numbers in terms of i. Type an exact answer, using radicals as needed.) 11. Solve the equation by any method. 2 x +10x4=0 x= (Use a comma to separate answers as needed. Express complex numbers in terms of i. Type an exact answer, using radicals as needed.) 12. The time a basketball player spends in the air when shooting a basket is called the "hang time." The vertical leap L measured in feet is related to the hang time t measured in seconds by the equation L=4t2. Suppose that a basketball player has a vertical leap of 3 feet 8 inches. Find the hang time for this leap. The hang time for a vertical leap of 3 feet 8 inches is ______ seconds. (Round to two decimal places as needed.)