## hannalafave 2 years ago 12a^3-3a^2-5a+10/4a+3

1. hannalafave

long division

2. hannalafave

i know u do this first |dw:1354757932663:dw|

3. hannalafave

4a^2-3 divided in to 12a^2-3a^2=3a

4. mark_o.

ok lets do this step by step :D

5. hannalafave

ok

6. hannalafave

\[12a^3-3a^2-5a+10\div4a+3\]

7. hannalafave

3a^5

8. mark_o.

first whats 12a^3/4a ?

9. hannalafave

3a^2

10. mark_o.

yes correct :D now lets do the procedure as we are dividing numbers like in a regular way

11. hannalafave

|dw:1354759034295:dw|

12. hannalafave

yea i know that what it 6 or is it -6

13. hannalafave

ops -6

14. mark_o.

12a^3 -3a^2 -(12 a^3 +9a^2)=0 - 12a2 yes or no?

15. hannalafave

yes

16. mark_o.

ok continue dividing that using the correct answer :D

17. hannalafave

so 12a^2-5a u need to use a 3a again

18. mark_o.

remember always use parenthesis so that you can remember your sign

19. mark_o.

yes correct use -3a

20. hannalafave

(-3a)|dw:1354760013653:dw|

21. mark_o.

- 12x^2 - 5x -( -12x^2 - 9x ) ---------------- 0 + 4x yes or no?

22. hannalafave

yes

23. mark_o.

your -9 became +9 correct? so -5a +9a= 4a

24. hannalafave

yes so we have 4a+10 left

25. mark_o.

yes continue doing division :D

26. hannalafave

1 * 4a+3

27. mark_o.

+ 4 a +10 -( 4a + 3 } --------------- 0 + 7=R

28. hannalafave

so the answer is 3a^2-3a+1 7/4a+3

29. mark_o.

yeahhh correct :D

30. hannalafave

it says it's wrong =(

31. mark_o.

you can re chack that by multiplying (4a^2 +3)(3a^2 -3x +1 + 7/(4x+3))

32. hannalafave

its the faction

33. hannalafave

fraction

34. mark_o.

will you pls check the real prob again is this it ? 12a^3-3a^2-5a+10/(4a+3)

35. hannalafave

yea thats it

36. hannalafave

is it -1

37. mark_o.

ok lets try multiplying them to check if we arrived on it

38. mark_o.

(4x+3)(3x^2 -3x +1 + 1/ (4x+3))

39. hannalafave

12a^3-12a^2+4

40. mark_o.

the R=7 therefore (im gonna use x instead of a here) :D (4x+3)(3x^2 -3x +1 + 7/ (4x+3)) =12x^3 +9x^2 -12x^2 - 9x +4x +3 +7 = 12x^3 -3x^2-5x +10 or = 12a^3 -3a^2-5a +10 correct ?

41. hannalafave

the last one is correct

42. mark_o.

ok R=7 maybe thats why its looks like its wrong in the beginning?

43. hannalafave

it need +7/4a+3

44. mark_o.

whats the answer in the book?

45. mark_o.

yes correct

46. hannalafave

ya but i ask it to many time so i got it wrong =(

47. hannalafave

i have till12 tonight to finish these problem i'm at a lot i only need 1.4% to pass this semester

48. hannalafave

the new problem is 9a^3-3a^2-3a+15/3a+2

49. hannalafave

got that one right =)

50. mark_o.

ok on that one whats the first guess?

51. mark_o.

9a^3 / 3a= ?

52. hannalafave

i got it right already i'm on 9b^2-6b-8/3b-1

53. hannalafave

i got so far on this one 3b is the first

54. mark_o.

ok

55. hannalafave

the answer i came up with is 3b-3b- 7/3b-1

56. mark_o.

nope :D

57. hannalafave

no its wrong =(

58. mark_o.

try again.... :D

59. hannalafave

oh 3b-1b-7/3b-1

60. hannalafave

-9/3b-1

61. mark_o.

hmm if your answer start with 3b the next to it must not have any more variable b because the polynomial like ax^5 +b x^4 +cx^3 +dx^2 +ex + f you are here -----> 3b +__? gets?

62. mark_o.

the power should be in ascending or descending order :D

63. hannalafave

thats right just 1

64. hannalafave

descending

65. mark_o.

66. hannalafave

3b-1- 7/3b-1

67. mark_o.

hmm (3b-1)(3b-1)=?

68. mark_o.

i think you slipped on your R=? re check again on getting your R?

69. hannalafave

9b^2-3b-3b+2=== 9b^2+-6b+2

70. hannalafave

-8-(-1) =-7

71. mark_o.

-3b -8 -(-3b +1) ---------- 0 - ?

72. hannalafave

-9

73. hannalafave

i got it i got it =) thanks again

74. mark_o.

ok YW :D

75. hannalafave

i'm a slow learner and never did this in high school

76. mark_o.

ok now you are doing good.... it just takes practice :D

77. hannalafave

yea thank god this is my last semester in it......

78. mark_o.

no one is a slow learner... its just depend if you are interested to it before or now or then .. :D

79. hannalafave

i'm not i will not use this in my culinary classes at all!!!!!!!!!!!

80. mark_o.

ive seen that you are interested to it so i did show you step by step it doesnt mean you are slow learner.. its because you are now learning it or reviewing it ..............:D

81. hannalafave

can u help me with my last one

82. mark_o.

yes you will in finding the correct ratios of those thing you need to cook according to the recipe :D

83. hannalafave

3-5x^2/x+2

84. mark_o.

ok what is it

85. hannalafave

i know u have to do this -5x^2+0x+3/x+2

86. mark_o.

arrange them first in ascending order then divide

87. mark_o.

yes correct go ahjead and try that

88. hannalafave

ok i came up with -5x-10 -17/x-2

89. hannalafave

ops +10

90. hannalafave

and +17

91. mark_o.

yesssssssssssss correct..............:D

92. mark_o.

hmm not +17 :(

93. hannalafave

yes -5x+10 -17/x-2

94. hannalafave

no it says its wrong =(

95. mark_o.

.this is the correct prob 3-5x^2/x+2 tyhen it should be x+2

96. mark_o.

not x-2

97. hannalafave

it worked =)

98. mark_o.

ok always check the prob correctly thats the main key :D

99. mark_o.

ok good...... :D

100. mark_o.

i can see from now that youl be earning good money in your culinary class after graduating :D