2. THIS IS

3. 100 200 300 400 500 Chapter 2 Definitions Section 2-1Section 2-2Sections 2- 3/2-4 Sections 2- 5/2-6 Section 2-7

4. If a polynomial P(x) has a squared factor such as (x-c) 2, then x=c is a…? Definitions 100

5. Double Root Defintions100

6. Any value of x for which P(x)=0 is a ____ of the equation? Definitions 200

7. Root Definitions 200

8. Linear and quadratic functions belong to a family of functions known as…? Definitions 300

9. Polynomial Functions Definitions 300

10. The maximum or minimum values of the quadratic function f(x)=ax 2 +bx+c occurs at…? Definitions 400

11. -b/2a Defintions 400

12. The following steps are for ________? 1.Start with the leading coefficient 2.Repeat the following until the last coefficient is reached: a.Multiply by the value of x b.Add the next coefficient Definitions 500

13. Synthetic Substitution A 500

14. Classify the following polynomial function as linear, quadratic, cubic, quadratic, or quintic. Also, give its leading term, leading coefficient, and degree. h(x)= 8-5x 3 2-1100

15. Cubic; Leading term: -5x 3 Leading coefficient: -5 Degree: 3 2-1 100

16. State weather the function is a polynomial function. Give the zeroes of the function, if they exist. X 2 -3x-4 ____________ X 2 +1 2-1 200

17. It’s not a function Zeros: -1, 4 2-1 200

18. Find the value of the function (remember 1= ). Simplify the answer. h(x)=2x 2 -5x+6; h(1+i) 2-1 300

19. 1-i 2-1 300

20. If P(x)= 3x 3 -7x 2 +2x+3, use synthetic substitution to find P(-2/3) 2-1 400

21. -7/3 2-1 400

22. Find the value of the function (remember1= ). Simplify the answer. x 3 -9x; ( ) 2-1 500

24. Find the remainder when x 5 - 2x 3 +x 2 -4 2-2 100

25. R=-4 2-2 100

26. Find the quotient and the remainder when the first polynomial is divided by the second. x 3 -2x 2 +5x+1; x-1 2-2 200

27. x 2 -x + 4; R=5 2-2 200

28. Which of the following are factors of P(x)=x 3 -5x 2 +3x+9 a) x+2 b)x+3 c) x-3 2-2 300

29. C

30. DAILY DOUBLE 2-2 400 DAILY DOUBLE Place A Wager

31. Find the remaining roots 2x 4 -9x 3 +2x 2 +9x-4=0; Roots: x=-1, x=1 2-2 400

32. x=4; x=1/2

33. Find the quotient and the remainder when the first polynomial is divided by the second. x 5 +3x 2 +4; x 2 +2x+1 2-2 500

34. x 3 -2x 2 +3x-1;R=-x+5 2-2 500

35. If a polynomial P(x) is a squared factor such as (x-2) 2, then x=c is a double root of P(x)=0. What can you infer about the graph? 2-3/2-4 100

36. It will be tangent to the x-axis (at x=c) 2-3/2-4 100

37. Sketch the graph of the equation y=(x+1)(x-2)(x-4) 2-3/2-4 200

39. Factor the polynomial function and sketch its graph F(x)=x 4 -x 2 2-3/2-4 300

41. Factor the polynomial function and sketch its graph F(x)= x 4 -2x 3 +2x-1 (Hint: x=1 is a triple root). 2-3/2-4 400

42. F(x)= (x-1) 3 (x+1) 2-3/2-4 400

43. A farmer wants to make a rectangular enclosure using a wall as one side and 120 m of fencing for the other three sides. a)Express the area in terms of x and state the domain of the area function. b) Find the value of x that gives the greatest area. 2-3/2-4 500

44. a) A(x)=-2x 2 +120x or x(120-2x) D= 0<x<60 b) x=30

45. Solve x 3 -x 2 -5x+2=0 by using a graphing calculator. 2-5/2-6 100

46. x=-2, x=0.4, x=2.6 2-5/2-6 100

47. Solve x 4 -3x 2 =9 by using a graphing calculator. 2-5/2-6 200

48. X=-2.20, x=2.20

49. 2-5/2-6 300 Solve x 3 +5x 2 -4x-20=0 by grouping.

50. 2-5/2-6 300 x=2, x=-2, x=-5

51. Solve 2x 4 -x 2 -3=0 using the quadratic form. 2-5/2-6 400

52. X= ± i, ± 2-5/2-6 400

53. According to the rational root theorem, what are all the roots of P(x)= 3x 4 +13x 3 +15x 2 -4=0 ? 2-5/2-6 500

54. x=-2 (double root), x= 2-5/2-6 500

55. Tell whether the following statement is true or false: Some cubic equations have no real roots 2-7 100

56. False 2-7 100

57. Find the sum and product of the roots of the given equation: 4x 2 -3x+6=0 2-7 200

58. Sum: 3/4 Product: 3/2 2-7 200

59. Find a quadratic equation with roots 2±3i. 2-7 300

60. x 2 -4x+13=0 2-7 300

61. Find a cubic equation with integral coefficients that has the given roots: 3 and 7-i 2-7 400

62. x 3 -17x 2 +92x-150=0 2-7 400

63. Find a cubic equation with integral coefficients that has no quadratic term and as one of its roots. 2-7 500

64. x 3 -25x+66=0 2-7 500

65. The Final Jeopardy Category is: Chapter 2 Please record your wager. Click on screen to begin

66. Suppose you have 102 m of fencing to make two side-by-side rectangular enclosures, as shown. What is the maximum area that you can enclose? Click on screen to continue x

67. 433.5 m 2 Click on screen to continue

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