<p>Polynomials Test Review Name: </p><p>Work out answers on another sheet of paper. This review is the day of the test and will be a quiz grade. No work = No credit.</p><p>Use long division or synthetic division to determine whether or not the given expression is a factor of the polynomial. Write out the resulting answer.</p><p>1. x3 + x2 + 6x + 6; x + 1 4. -4x3 + 8x2 + 252x; x + 7 2. 2x3 – 6x2 + 2x – 14; 2x2 – 7 5. x3 + 343; x2 – 7x + 49 3. 64x3 – 8; 4x – 3 6. 7. 8. Factor, find the zeros, and describe the end behavior. Graph the odd problems on graph paper. 9. 10. y = 64x3 – 8 15. y = - 10x4 + 27x3 – 25x2 + 9x – 1 11. y = 2x3 – 20x2 + 18x 16. y = x6 – x4 - 81x2 + 81 12. y = - 8x4 + 8x3 + 27x – 27 17. y = 6x5 – 17x4 – 2x3 + 24x2 – 4x – 7 13. y = x4 + 12x3 +35x2 – 12x – 36 18. y = - 4x4 + 27x2 + 21x – 2 14. y = x4 + 13x2 – 48 19. 20. 21. Find the inverse of each of the following functions, and graph both the original function and its inverse on graph paper. 22. 23. y = 4x2 – 8x – 60 24. y = 2x2 + 12x – 4 25. y = (x + 3)3 – 9 26. 27. 28. Suppose the following are zeroes for a polynomial. Find the equation of the polynomial with these zeroes that has a leading coefficient of 1. 29. 30. 3 + i, 4, 1 31. 2 – , -2, 2 32. 33. Given the following data, find the polynomial equation that best fits the data. 34. 35. ( 1, -2) (2, 7) (3, 18) (4, 31) (5, 46) (6, 63) 36. (-1 -48) (0, -50) (1, -36) (2, 0) (3, 64) (4, 162) 37. 38. Solve the following: 39. You are in charge of making a container to hold a number of small candies. You may use one 3 in. x 5 in. index card to create a box. Find the dimensions of the box that maximize the number of candies you get and the maximum volume. 40. 41. Graph: 42. 43. 44. 45. 46. Solve the following for x: 47. 48. 49. 50. 51. 52. Rationalize or simplify 53. 54. 55. 56. 57. 58. 59. Polynomials Test Review Key 60. 61. 1. Yes, 2. No, 3. No, 4. Yes, 5. Yes, 6. ; as x , f(x) , as x , f(x) 7. ; as x , f(x) , as x , f(x) 8. – ; as x , f(x) , as x , f(x) 9. ; as x , f(x) , as x , f(x) 10. ; as x , f(x) , as x , f(x) 11. ; as x , f(x) , as x , f(x) 12. ; as x , f(x) , as x , f(x) 13. ; as x , f(x) , as x , f(x) 14. – ; as x , f(x) , as x , f(x) 15. 16. 17. 18. 19. 20. 21. h = .6 in, length = 3.8 in, width = 1.8 in; max volume: approx 4.1 cubic inches 22. see graphs 23. see graphs 24. x = 10 25. no solution 26. x = 0 27. 28. 29. 30. 31. 32. 33. Graphs: 34. 35. 7) 36.</p><p>37. 9) 38.</p><p>39. 11) 40. 41. 13) 42.</p><p>43. 15) original: inverse:</p><p>44. 45. 16) original: inverse:</p><p>46. 47. 17) original: inverse:</p><p>48.</p><p>49. 23) 50. 51. 24) 52. 53.</p>