2. Rules Always answer in the form of a question Team names & buzzer sounds ready Points to be taken away for wrong answers? (Decide as a class…change this slide accordingly for future.)

3. 100 200 300 400 500 Direct & Inverse Variation Dividing Polynomials Finding Rational Roots Miscellaneous Synthetic Division 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500

4. Direct & Inverse - for 100 Remember to phrase your answer in the form of a question! SOLVE If p is directly proportional to q, and p=9 when q=7.5, find q when p=24

5. Direct & Inverse - for 100 q=20

6. Direct & Inverse - for 200 If w is inversely proportional to the square of v, and w=3 when v=6 find w when v=3 Remember to phrase your answer in the form of a question!

7. Direct & Inverse - for 200 W=12

8. Direct & Inverse - for 300 If p is directly proportional to r-2, and p=20 when r=6, find p when r=12 Remember to phrase your answer in the form of a question!

9. Direct & Inverse - for 300 p=50

10. Direct & Inverse - for 400 The stretch in a loaded spring varies directly as the load it supports. A load of 15 kg stretches a certain spring 3.6 cm. What load would stretch the spring 6cm? Remember to phrase your answer in the form of a question!

11. Direct & Inverse - for 400 25 kg

12. Direct & Inverse - for 500 The frequency of a radio signal varies inversely as the wave length. A signal of frequency 1200 kilohertz, which might be the frequency of an AM radio station, has a wave length 250 m. What frequency has a signal of wave length 400 m? Remember to phrase your answer in the form of a question!

13. Direct & Inverse - for 500 750 kHz

14. Dividing Polynomials- for 100 6-2x-x² 2-x Remember to phrase your answer in the form of a question!

15. Dividing Polynomials- for 100 X+4- 2 2-x

16. Dividing Polynomials- for 200 4u²+4u+1 2u+1 Remember to phrase your answer in the form of a question!

17. Dividing Polynomials- for 200 2u+1

18. Dividing Polynomials- for 300 6t³+t²+7t+10 3t +2 Remember to phrase your answer in the form of a question!

19. Dividing Polynomials- for 300 2t²-t+3+ 4 3t+2

20. Dividing Polynomials- for 400 x³+a³+4a²x+4ax² x+2a Remember to phrase your answer in the form of a question!

21. Dividing Polynomials- for 400 x²+2ax+ a³ x+2a

22. Dividing Polynomials- for 500 Find k so that when x³+kx+1 is divided by x-2, the remainder is 0 Remember to phrase your answer in the form of a question!

23. Dividing Polynomials- for 500 - 9/2

24. Finding Rational Roots - for 100 X³-7x+6=0 Find any rational roots if there is at least one solve completely Remember to phrase your answer in the form of a question!

25. Finding Rational Roots - for 100 {-3,1,2}

26. Finding Rational Roots - for 200 2X³-x+12=0 List all possible rational roots Remember to phrase your answer in the form of a question!

27. Finding Rational Roots - for 200 Plus/minus 12,1,3,4,2,6,3/2, 1/2

28. Finding Rational Roots - for 300 Find a polynomial equation Given roots 2,i Remember to phrase your answer in the form of a question!

29. Finding Rational Roots - for 300 x 3 -2x 2 +x-2=0

30. Finding Rational Roots - for 400 Solve Given 2 is a root Remember to phrase your answer in the form of a question!

31. Finding Rational Roots - for 400 -1+2i, -1-2i,2

32. Finding Rational Roots - for 500 2x³-5x²+8x-20=0 Solve given 5/2 is a root Remember to phrase your answer in the form of a question!

33. Finding Rational Roots - for 500 {5/2, ±2i}

34. Theorems - for 100 Remember to phrase your answer in the form of a question! If 2 +3i is a root give another

35. Theorems - for 100 2-3i Conjugate Root Theorem

36. Theorems - for 200 Solve given 2+i is one root of X 3 -11x+20=0 Remember to phrase your answer in the form of a question!

37. Theorems - for 200 2+i,2-i,-4

38. Theorems - for 300 Use the remainder theorem to evaluate P(3/2) if P(x) =4x 3 -4x 2 +5x+1 Remember to phrase your answer in the form of a question!

39. Theorems - for 300 13

40. Theorems - for 400 Is x-i a factor of P(x)=X 3 -2x 2 +1x+2 Remember to phrase your answer in the form of a question!

41. Theorems - for 400 P(i)=i 3 -2(i 2) +1i+2= -i+2+i+2=4 P(i) does not = 0 so x-I is not a factor

42. Theorems - for 500 X 4 -6x 3 + 60x -100=0 X=3+i find all roots Remember to phrase your answer in the form of a question!

43. Theorems - for 500

44. Synthetic Division - for 100 3x³-5x²+x-2 X-2 Remember to phrase your answer in the form of a question!

45. Synthetic Division - for 100 3x²+x+3+ 4 x-2

46. Synthetic Division - for 200 t^4+5t³-2t-7 t+5 Remember to phrase your answer in the form of a question!

47. Synthetic Division - for 200 t 3 -2+ 3 t+5

48. Synthetic Division - for 300 Remember to phrase your answer in the form of a question! 2x ³-3x²+4x-2 2x+1

49. Synthetic Division - for 300 X²-2x+3+ -5 2x+1

50. Synthetic Division - for 400 z³-2z²+4z-5 z-2i Remember to phrase your answer in the form of a question!

51. Synthetic Division - for 400 Z²+(-2+2i)z-4i+ 3 z-2i

52. Synthetic Division - for 500 2x³+5x²+4=(x+3)Q(x)+R Find the polynomial Q(x) and the constant R. Remember to phrase your answer in the form of a question!

53. Synthetic Division - for 500 Q(x)=2x²-x+3; R= -5