1. factor completely 2x^4-12x^3+12x^2 2x2(x2 – 6x + 6) 2a. solve 2x^2=6 b. find x intercepts of f(x)=2x^2-6 type exact answers, use radicals as needed, rationalize all denominators Solutions: 3, − 3 x-intercepts: ( 3, 0), (− 3, 0) 5. use foil to find product (6x^5-7)(x^6-1) 6x11 – 7x6 – 6x5 + 7 11. state value of discriminant 18x62+10x-20=0 is there one real solution or 2 imaginary solutions or 2 real solutions? Discriminant = 1540 Equation has 2 real solutions 13. multiply (3x+5)(2x^2+4x+7) 6x3 + 22x2 + 41x + 35 14. simplify 12 over radical (-3)^12 12 12 (−3) = 3 16. multiply (-4x)^2(3x^5)^2 144x12 18. solve 5/z = 7/z-1/5 z = 10 19. find vertex, line of symmetry, the maximum OR minimum value for x, state whether is it max or min and if graph opens up or down f(x)=1/3(x+2)^2+6 Vertex is (-2, 6) Line of symmetry is x = -2 Minimum value of f(x) is 6 f(-2) = 6 is a minimum Graph opens up Graph looks like this: 22. 81a^2-121 factor binomial (9a + 11)(9a – 11) 26. use rational exponents to write x^1/2 times y^1/6 times z^1/3 as single radical expression 6 x3yz2 29. subtract simplify by collecting radical terms if possible 4 radical 32 ñ 4 radical 2 4 32 − 4 2 =12 2 32. factor completely 100a^2+160af+64f^2 4(5a + 4f)2 33. evaluate polynomial for x= -3 3x^2-2x+7 40 34. divide and simplify 7x-56/121 divided by x-8/55x 7x − 56 x −8 35x ÷ = 121 55x 11 35. perform operations and simplify y-7/y-9 - y+1/y+9 + y-45/y^2-81 y − 7 y +1 y − 45 11 − + = y − 9 y + 9 y2 −81 y + 9 38. use quadratic formula. type exact answers with radicals as needed x^2-3x= -4 3+i 7 3−i 7 , 2 2 39. find vertex, line of symmetry, max or min value for x and sate whether it is min or max and if graph opens up or down f(x)= -2x^2+2x+3 Vertex is (1/2, 7/2) x-coordinate of the vertex is ½ y-coordinate of the vertex is 7/2 Line of symmetry is x = ½ Maximum value of f(x) is 7/2 f(1/2) = 7/2 is a maximum The graph opens down. The graph looks like this: 42. solve 4x^4-12x^2+5=0 x = ½, 5/2 43. solve (x+8)(x-14)(x+5) is greater than 0 -8 < x < -5, x > 14 46. in right triangle find length of side not given b=2, c= radical 13 a=???? a = 3 47. type exact answer using radicals as needed x^2+6x-4=0 −3+ 13, −3− 13 48. (5 radical 5 - 15 radical 3)(2 radical 5 + 6 radical 3) (5 5 −15 3)(2 5 + 6 3) = −220 52. find x intercepts of graph y = x^2 -2x - 8 (-2, 0), (4, 0) 57. solve b^2-4b-45=0 9, -5 60. factor 63-16r+r^2 (9 – r)(7 – r) 61. using V=48T^2 how many seconds will player hang if he has vertical leap of 25 inches? type decimal and round to nearest tenth 0.7 62. 4x(x-7)-5x(x-6)= -3 solve for x -1, 3 64. multiply, simplify by factoring 3 over radical y^7 times 3 over radical 81y^8 3 y7 3 81y8 = 3y5 3 3 66. simplify 3 over radical -1/64 1 1 3 − = − 64 4.