1. Quiz Show

2. Polynomial Operations 100ABCDE Evaluating Polynomials 200ABCDE Factoring & Solving Polynomials 300ABCDE App. Problems & Theorems 400ABCDE Polynomial Graphs 500ABCDE

3. (11x 5 + 7x 4 – 5x 3 ) + (12x 6 + 6x 4 – 8x) 100A

4. (3x 2 + 7x – 4) – (10x 2 + 15x + 7) 100B

5. Multiply (3 x 2 + 2 x + 5) by (5 x + 6) 100C

6. Divide (2x 4 – 15x 2 – 10x + 5) by (x – 3) using long division 100D

7. Divide (x 3 + 5x 2 – 8x + 28) by (5 x – 1) using synthetic division 100E

8. Evaluate f(x) = 3 x 2 – 5 x + 6 for f(2i) 200A

9. Evaluate f(x) = 8 x – 4 x 2 for f(1 - ) 200B

10. If f(x) = 4x 3 – 5x 2 + 7x - 9, use synthetic substitution to find f(2) 200C

11. If f(x) = 4x 3 – 5x 2 + 7x - 9, use synthetic substitution to find f(- 3) 200D

12. If f(x) = 3x 3 – 7x 2 + 2x + 3, use synthetic substitution to find f( ) 200E

13. Factor x 3 – 1000 300A

14. Factor x 4 – 7x 2 – 8 300B

15. Factor 64 – 125x 3 300C

16. Solve 3x 4 + 12x 2 – 15 = 0 300D

17. Solve x 3 – 5x 2 + 4x – 20 = 0 300E

18. A rectangle has a perimeter of 80 cm. If its width is x, express its area in terms of x. What is the maximum area of the rectangle? 400A

19. The volume of a box is given by V(x) = x(10 – x)(10 – 2x). Find the approx. max. volume. 400B

20. An open box is to be formed by cutting squares from a square sheet of 10 cm on each side. Find the value of x that maximizes the volume. 400C

21. A polynomial equation with rational coefficients has the given roots. Find 2 additional roots. – and 5 + 400D

22. A polynomial equation with rational coefficients has the given roots. Find 2 additional roots. – 7i and 3 + 7i 400E

23. Sketch an approx. graph of y = x 6 500A

24. Determine the max. number of zeros and vertices of the polynomial P(x) = 12x 6 + 6x 4 – 8x 500B

25. Given the polynomial P(x) = (x – 5) (x + 6) 4, where is the graph tangent and where does it cross the x-axis? 500C

26. Given the polynomial P(x) = – 5x 2 + 7x – 9, describe the behavior of the graph on the right and left 500D

27. Sketch the graph of f(x) = (x + 1)(x – 1)(x – 2) 500E

28. (11x 5 + 7x 4 – 5x 3 ) + (12x 6 + 6x 4 – 8x) 12x 6 + 11x 5 + 13x 4 – 5x 3 – 8x 100A

29. (3x 2 + 7x – 4) – (10x 2 + 15x + 7) - 7x 2 – 8x – 11 100B

30. Multiply (3 x 2 + 2 x + 5) by (5 x + 6) 12x 6 + 11x 5 + 13x 4 – 5x 3 – 8x 100C

31. Divide (2x 4 – 15x 2 – 10x + 5) by (x – 3) using long division Q: 2x 3 + 6x 2 + 3x – 1 R: 2 100D

32. Divide (x 3 + 5x 2 – 8x + 28) by (5 x – 1) using synthetic division Q: x 2 + 3x – 1 R: 0 100E

33. Evaluate f(x) = 3 x 2 – 5 x + 6 for f(2i) - 2 – 10i 200A

34. Evaluate f(x) = 8 x – 4 x 2 for f(1 - ) - 4 200B

35. If f(x) = 4x 3 – 5x 2 + 7x - 9, use synthetic substitution to find f(2) 17 200C

36. If f(x) = 4x 3 – 5x 2 + 7x - 9, use synthetic substitution to find f(- 3) - 183 200D

37. If f(x) = 3x 3 – 7x 2 + 2x + 3, use synthetic substitution to find f( ) 3 3 200E

38. Factor x 3 – 1000 (x 2 -10)(x+10x+100x 2 ) 300A

39. Factor x 4 – 7x 2 – 8 (x 2 -8)(x 2 +1) 300B

40. Factor 64 – 125x 3 (4 – 5x) (16 + 20x + 25x 2 ) 300C

41. Solve 3x 4 + 12x 2 – 15 = 0 x = 1; x = - 1; x = 300D

42. Solve x 3 – 5x 2 + 4x – 20 = 0 x = 2; x = - 2; x = 5 300E

43. A rectangle has a perimeter of 80 cm. If its width is x, express its area in terms of x. What is the maximum area of the rectangle? x(40 – x); 400 cm 2 400A

44. The volume of a box is given by V(x) = x(10 – x)(10 – 2x). Find the approx. max. volume. x = 1.67; 9.26 ft 3 400B

45. An open box is to be formed by cutting squares from a square sheet of 10 cm on each side. Find the value of x that maximizes the volume. x = 1.7; 74.1 cm 3 400C

46. A polynomial equation with rational coefficients has the given roots. Find 2 additional roots. – and 5 + and 5 – 400D

47. A polynomial equation with rational coefficients has the given roots. Find 2 additional roots. – 7i and 3 + 7i 7i and 3 – 7i 400E

48. Sketch an approx. graph of y = x 6 500A

49. Determine the max. number of zeros and vertices of the polynomial P(x) = 12x 6 + 6x 4 – 8x 6 zeros; 5 vertices 500B

50. Given the polynomial P(x) = (x – 5) (x + 6) 4, where is the graph tangent and where does it cross the x-axis? Tangent @ - 6; crosses @ 5 500C

51. Given the polynomial P(x) = – 5x 2 + 7x – 9, describe the behavior of the graph on the right and left Rises to the left & falls to the right 500D

52. Sketch the graph of f(x) = (x + 1)(x – 1)(x – 2) x = -1; x = 1; x = 2 (1.5, -.625); (0, 2); (-2, -12) 500E