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course mth158
6-26
1. 3x ^ 3 - 12 x = 3x(x^2 -4) 4. 3x^3 - 2x ^2 - 6x + 4 = (3x -2) (x^2 + 2) = 3x^3 + 6x -2x^2 -4 false
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)
16. x^2 -4 = (x+2) (x-2)
19. x^2 - 16 = (x+4)(x-4)
22. 36x^2 -9 = (6x + 3)^2 (6x+ 3)^2
25. x^2 +4x+4 = (x + 2) ^2
28. x^2 +10 +25 = (x+5) ^2
32. 25x^2 + 10x+1 (5x +1)^2
34. x^3 +125 = x^3 +5 ^3 = x+5 (x^2 +5x +25)
37. 8x^3 +27 = 2x^3 +3^3 = 2x + 3 (4x^2 - 6x +9)
40. x^2 + 6x+8 = (x+2)(x+4)
43. x^2 + 7x + 10 = (x+5) (x+2)
46. x^2 - 17x +16 = (x-1) (x-16)
49. x^2 + 7x -8 = (x-1) (x-7)
52. 3x^2 - 3x + 2x -2 = 3x^2 -x -2 = (3x +2) (x-1)
55. 6x^2 + 9x + 4x + 6 = 6x^2 +13x +6 = (2x +3) ( 3x+21)
58. 2x^2 + 3x +1 = (2x +1) (x+2)
61. 3x^2 +2x -8 = (3x -4) (x +2)
64. 3x^2 -10x +8 = (3x -2) (x -4)
67. 3x^2 +10x - 8 = (3x +2) ( x-4)
70. x^2 - 9 + (x+3) (x -3)
73. x^2 = 11x + 10 = (x+1) (x +10)
76. x^2 -6x + 8 (x-2) (x-4)
79. x^2 + 4x + 16 = prime
82. 14 + 6x - x^2 prime
85. y^4 +11y^3 + 30y y^2 (y^2 +11y + 310)
(y+5) (y + 6)
88. 9x^2 -12 x +4 = (3x- 2) (3x -2)
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You would be welcome to provide a document with detailed solutions on all problems, with the sort of detail requested by the Submit Question Form. However you would probably find this overly time-consuming. The Query is meant to elicit the necessary information with reasonable time demands on you.*@