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

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= a=????

a = 3

47. type exact answer using radicals as needed x^2+6x-4=0

−3+ 13, −3− 13

48. (5 - 15 )(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