Polynomial Basics

1. [latex]2[/latex]
2. [latex]8[/latex]
3. [latex]2[/latex]
4. [latex]4x^2 + 3x + 19[/latex]
5. [latex]3w^2 + 30w + 21[/latex]
6. [latex]11b^4 - 9b^3 + 12b^2 - 7b + 8[/latex]
7. [latex]24x^2 - 4x - 8[/latex]
8. [latex]24b^4 - 48b^2 + 24[/latex]
9. [latex]99v^2 - 202v + 99[/latex]
10. [latex]8n^3 - 4n^2 + 72n - 36[/latex]
11. [latex]9y^2 - 42y + 49[/latex]
12. [latex]16p^2 + 72p + 81[/latex]
13. [latex]9y^2 - 36y + 36[/latex]
14. [latex]16c^2 - 1[/latex]
15. [latex]225m^2 - 36[/latex]
16. [latex]-16m^2 + 16[/latex]
17. [latex]121q^2 - 100[/latex]
18. [latex]16t^4 + 4t^3 - 32t^2 - t + 7[/latex]
19. [latex]y^3 - 6y^2 - y + 18[/latex]
20. [latex]3p^3 - p^2 - 12p + 10[/latex]
21. [latex]a^2 - b^2[/latex]
22. [latex]16t^2 - 40tu + 25u^2[/latex]
23. [latex]4t^2 + x^2 + 4t - 5tx - x[/latex]
24. [latex]24r^2 + 22rd - 7d^2[/latex]

Factoring Polynomials

25. [latex]7m[/latex]
26. [latex]10m^3[/latex]
27. [latex]y[/latex]
28. [latex](2a - 3)(a + 6)[/latex]
29. [latex](3n - 11)(2n + 1)[/latex]
30. [latex](p + 1)(2p - 7)[/latex]
31. [latex](5h + 3)(2h - 3)[/latex]
32. [latex](9d - 1)(d - 8)[/latex]
33. [latex](12t + 13)(t - 1)[/latex]
34. [latex](4x + 10)(4x - 10)[/latex]
35. [latex](11p + 13)(11p - 13)[/latex]
36. [latex](19d + 9)(19d - 9)[/latex]
37. [latex](12b + 5c)(12b - 5c)[/latex]
38. [latex](7n + 12)^2[/latex]
39. [latex](15y + 4)^2[/latex]
40. [latex](5p - 12)^2[/latex]
41. [latex](x + 6)(x^2 - 6x + 36)[/latex]
42. [latex](5a + 7)(25a^2 - 35a + 49)[/latex]
43. [latex](4x - 5)(16x^2 + 20x + 25)[/latex]
44. [latex](5r + 12s)(25r^2 - 60rs + 144s^2)[/latex]
45. [latex](2c + 3)^{-\frac{1}{4}} - (7c - 15)[/latex]
46. [latex](x + 2)^{-\frac{2}{5}}(19x + 10)[/latex]
47. [latex](2z - 9)^{-\frac{3}{2}}(27z - 99)[/latex]
48. [latex](14x - 3)(7x + 9)[/latex]
49. [latex][/latex]
50. [latex](3x + 5)(3x - 5)[/latex]

Rational Expressions

51. [latex]\frac{y + 5}{3y + 6}[/latex]
52. [latex]3b + 3[/latex]
53. [latex]\frac{x + 4}{2x + 2}[/latex]
54. [latex]\frac{a + 3}{a - 3}[/latex]
55. [latex]\frac{3n - 8}{7n - 3}[/latex]
56. [latex]\frac{c - 6}{c + 6}[/latex]
57. [latex]1[/latex]
58. [latex]\frac{d^2 - 25}{25d^2 - 1}[/latex]
59. [latex]\frac{t + 5}{t + 3}[/latex]
60. [latex]\frac{6x - 5}{6x + 5}[/latex]
61. [latex]\frac{p + 6}{4p + 3}[/latex]
62. [latex]\frac{2d + 9}{d + 11}[/latex]
63. [latex]\frac{12b + 5}{3b - 1}[/latex]
64. [latex]\frac{4y - 1}{y + 4}[/latex]
65. [latex]\frac{10x + 4y}{xy}[/latex]
66. [latex]\frac{9a - 7}{a^2 - 2a - 3}[/latex]
67. [latex]\frac{2y^2 - y + 9}{y^2 - y - 2}[/latex]
68. [latex]\frac{5z^2 + 2z}{z^2 - 2}[/latex]
69. [latex]\frac{x + 2y}{x + 2xy + y}[/latex]
70. [latex]\frac{2b + 7a}{18 + ab}[/latex]
71. [latex]\frac{ab}{4b}[/latex]
72. [latex]\frac{a - b}{4b}[/latex]
73. [latex]\frac{3c^2 + 3c - 2}{2c^2 + 5c + 2}[/latex]
74. [latex]\frac{15x + 7}{x - 1}[/latex]
75. [latex]\frac{x + 9}{x - 9}[/latex]