1. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome to Who Wants to be a Millionaire 50:50

2. ©

3. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

4. © A: Positive: 2,0 Negative: 1 C: Positive: 3,0 Negative: 0 B: Positive: 3,1 Negative: 0 D: Positive: 2,1 Negative: 1 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Use Descartes’s Rule of Signs to determine the possible numbers of positive and negative real zeroes of f(x) = -7x³+9x²-x+5

5. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

6. © 1772 A: (4+i)÷4 C: 4/3 + 4i B: (3+i²)÷4 D: ¾ + i/4 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Divide the following complex numbers (1+2i)÷(2+2i) and express the result in standard form, where a and b are fractions.

7. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

8. © A: (-∞, 1- √2)(1+√2, ∞) C: (-∞, 1- √2][1+√2, ∞) B: Ǿ D: [1- √2, 1+√2] 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Solve the polynomial inequality x²≤2x+1 Express the solution set in interval notation.

9. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

10. © A: C: B: ±1,±2,±3,±6,±1/2,±1/6, ±1/3,±2/3,±3/2 D: 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 ±1,±2,±3,±6,±1/2,±1/3,±1/6 ±1,±3,±1/2,±1/6,±1/3,±3/2 ±1,±2,±3,±6,±1/3,±2/3 Use the Rational Zero Theorem to list all possible rational zeroes for the given function f(x)=-3x^4 +10x³+8x²-7x+6

11. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

12. © A: ±1,±2,±5,±10,±4 AR=10 C: ±1,±2,±5,±10,±4 AR=5 B : ±1,±2,±20,±5,±10,±4 AR=5 D: ±1,±2,±20,±5,±10,±4 AR=10 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100. In the fraction ½, the 2 is called the The following equation is given. x³-5x²-4x+20=0 List all possible rational roots Use synthetic division to find an actual rational root

13. © Congratulations! You’ve Reached the $1,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

14. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

15. © A: 64 C: 70 B: 51 D: 59 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 y varies directly as x and inversely as the square of z. y=9 when x=75 and z=5. find y when x=68 and z=2

16. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

17. © A: (11,∞) C: (-∞,11) B: (-∞,11) D: Ǿ 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Solve the polynomial inequality x²-22x+121<0 Express the solution set in interval notation

18. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

19. © A: 28i C: 24 B: 24i D: 28 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Perform the indicated operations and write the result in standard form, a+bi 2√-36 +4√-16

20. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

21. © A: falls left and rises right -2,0,4 odd C: rises left and falls right -2,0,4 even B: falls left and falls right -2,2,0 odd D: rises left and rises right, -2,2,0 even 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100, f(x)=x 4 -4x². What is the graph’s end behavior?. What are the x-intercepts?. Determine the symmetry of the graph

22. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

23. © A: {-1,-1/2,0} C: {-1/2,0,1} B: {-1,-1/2,1/2} D: {-1,-1/2,1} 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Solve the equation 4x³+4x²-x-1=0 given that -1/2 is a zero The solution set is?

24. © Congratulations! You’ve Reached the $32,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

25. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

26. © A: $475 to produce each bicycle C: $450 to produce each bicycle B: $375 to produce each bicycle D: $350 to produce each bicycle 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 = (75,0) A company is planning to manufacture mountain bikes. The fixed monthly cost will be $300,000 and it will cost $300 to produce each bicycle.. Find average cost function C producing x mountain bikes and than interpret how much it would cost to produce 4000 bikes

27. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

28. © A: maximum, -62 at x=2 C: minimum, -56 at x=4 B: maximum, 50 at x=4 D: minimum, 54 at x=2 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100. Determine, without graphing, whether the function has a minimum value or a maximum value.. Find the minimum or maximum value and determine where it occurs. f(x) = 3x²-24x-8

29. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

30. © A: 3x²+6x-40 C: 3x²-12x+32 B: 3x²+6x-40, R=99 D: 3x²-12x+32, R= -93 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Divide 3x³-3x²-4x+3 by x+3

31. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

32. © A: 2x^4 -2 C: 4x^4 +4 B: x^4 -2 D: x^4 +4 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Find a fourth-degree polynomial function f(x) with real coefficients that has -1,1 and i as zeroes and such that f(3)=160

33. © 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

34. © A: 2, multiplicity -3; 5, multiplicity 6 C: 2, multiplicity -3; 6, multiplicity 5 B: -3, multiplicity 2; 5, multiplicity 6 D: -3, multiplicity 2; 6, multiplicity 5 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Find the zeroes of f(x) = (x+3)² (x-5)^6 and state the multiplicity

35. © YOU WIN $1 MILLION DOLLARS!