If factored completely, 3x^3 - 12x = 3x(x^3-4) = 3x(x+2)(x-2)

4. False The polynomial x^2 + 4 is prime

Factor each polynomial by removing the common monomial factor 7. ax^2 + a = a(x^2 + 1)

10. x^3 - x^2 + x = x(x^2 - x + 1)

13. 3x^2y - 6xy^2 + 12xy = 3xy(x-2y + 4)

Factor the difference of two squares 16. x^2-4 = (x+2)(x+2) = (x-2)^2

19. x^2-16 = x^2-4^2 = (x-4)(x+4)

22. 36X^2 - 9 = 6x^2 - 9

Factor perfect squares 25. x^2 + 4x + 4 = (x+2)(x+2) = (x+2)^2

28. x^2 + 10x + 25 = x^2 + (x+2)(x+5) = x^2 + (x+2)(x+5)^2

31. 16x^2 + 8x + 1 = (4x + 1)^2

Factor the sum or difference of two cubes 34. x^3 + 125 = x^3 + (5)^3

37. 8x^3 + 27 = (2x)^2 + 3^3 = (2x + 3) (4x^2 - 6x + 9)

Factor each polynomial 40. x^2 + 6x + 8 = x^2 + (2x)^2 + 2^3

43. x^2 + 7x + 10 = (x+2)(x+5)

46. x^2 - 17x + 16 = (x+4)(x+4)^2

49. x^2 + 7x - 8 = (x+2)(x+2)^3

Factor by grouping 52. 3x^2 - 3x + 2x -2 = (3x^2 - 3x) + (2x - 2)

55. 6x^2 + 9x + 4x + 6 = (6x^2 + 9x) + (4x+6) = 6x(x+3) + (4x(x+2)

Factor each polynomial 58. 2x^2 + 3x +1 ???????

61. 3x^2 + 2x - 8 = (x+2)(3x-4)

64. 3x^2 - 10x + 8 = (x-10)(3x+2)^3

67. 3x^2 + 10x - 8 = (x+4)(3x+2)

Factor completely each polynomial. If cannot be factored, say it is prime. 70. x^2 - 9 = prime

73. x^2 + 7x + 10 = 8x^2 + 10 = (x+2)(x+5)

76. x^2 - 6x + 8 = 7x^2 + 8 = (x+2)(x+4)

79. x^2 + 4x + 16 = Prime 82. 14 + 6x - x^2 = Prime

85. y^4 + 11y^3 + 30y^2 = y^4 + 41y^5

88. 9x^2 - 12x + 4 =