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help-1
b27cb31142ab4efb861f0893ce72ea11
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ishsquish
01/28/2022 08:03:00
okay
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b27cb31142ab4efb861f0893ce72ea11
435,844,366,817,427,460
ishsquish
01/28/2022 08:03:03
cool
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b27cb31142ab4efb861f0893ce72ea11
530,116,068,644,225,000
aD
01/28/2022 08:03:33
But 1,3,6,8 etc cannot all be equal to f(1)
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help-1
b27cb31142ab4efb861f0893ce72ea11
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aD
01/28/2022 08:03:57
On one graph
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b27cb31142ab4efb861f0893ce72ea11
530,116,068,644,225,000
aD
01/28/2022 08:05:40
Make sense? @ishsquish
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help-1
b27cb31142ab4efb861f0893ce72ea11
435,844,366,817,427,460
ishsquish
01/28/2022 08:06:17
yeah, kinda thanks a lot dude @aD
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b27cb31142ab4efb861f0893ce72ea11
435,844,366,817,427,460
ishsquish
01/28/2022 08:06:34
i'll learn a bit more about em and revisit this
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ishsquish
01/28/2022 08:06:38
.close
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Azzaaro
01/28/2022 08:12:37
i found dy/dx its -3cotx/2 idk what to do next
https://cdn.discordapp.c…0328/unknown.png
unknown.png
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Mrgir
01/28/2022 10:23:04
Hello I have a step by step factoring problem and I am a bit stuck
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Mrgir
01/28/2022 10:23:05
https://cdn.discordapp.c…2028/unknown.png
unknown.png
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Deleted User
01/28/2022 10:26:36
Alright so I’m supposed to do this assignment that we learned “last year” and i recently moved schools so i have no clue what i’m doing.
https://cdn.discordapp.c…404/IMG_0364.jpg
IMG_0364.jpg
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dino dik
01/28/2022 10:27:25
this channel is occupied, #❓how-to-get-help
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dino dik
01/28/2022 10:30:02
we have $$44-16t^2-24=(-16t+A)(t-B)$$ where we need to find $A$ and $B$ right?
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TeXit
01/28/2022 10:30:04
**dino**
https://cdn.discordapp.c…240898789376.png
328019240898789376.png
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d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:30:38
Correct, I would normally factor it differently but the problem requests that it be in that format which confused me.
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d80d9cc731264394aa1c087081f28298
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dino dik
01/28/2022 10:31:05
I agree, it's a strange form but I guess we must conform
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help-1
d80d9cc731264394aa1c087081f28298
328,019,240,898,789,400
dino dik
01/28/2022 10:31:20
could you expand the right hand side of this?
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help-1
d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:32:10
I am not quite sure what you mean, sorry
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d80d9cc731264394aa1c087081f28298
328,019,240,898,789,400
dino dik
01/28/2022 10:32:49
you know what, how about we look at how you would normally factor that expression
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help-1
d80d9cc731264394aa1c087081f28298
328,019,240,898,789,400
dino dik
01/28/2022 10:33:11
what would your factorisation be?
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help-1
d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:34:17
Normally I would factor about a 4 first so something like 4((11- 4t^2) - 6)
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dldh06
01/28/2022 10:34:51
I think the reason why it's in a weird form because the original equation could have been simplified first
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:35:35
You can do that but for this problem, I suggest not to do that
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help-1
d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:36:38
I am unsure what do next then
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:36:51
How do you normally factor?
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help-1
d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:37:16
Quadratic formula
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d80d9cc731264394aa1c087081f28298
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dldh06
01/28/2022 10:37:30
-9 - 3 x + 2 x^2 Like this here
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:37:46
How would you factor without using the quadratic formula?
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:38:09
2x^2 - 3x - 9
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help-1
d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:39:31
I guess I kinda just do those in my head to get 2 numbers that multiply into -9 so (2x + 3) (x - 3)
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:40:54
So you're basically doing a factoring technique
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:41:32
There's many different names for it, I think the common one is AC diamond method or something like that
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:42:07
So the technique is you multiply A and C and find the factors of AC that add up to B
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help-1
d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:43:31
I guess so but I need a specific format for this question and I can not factor who I normally do. I am assuming they split 44t and I am unsure how.
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d80d9cc731264394aa1c087081f28298
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Susperman
01/28/2022 10:43:35
Dear Math, please grow up and solve your own problems, I'm tired of solving them for you.
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:43:56
Why?
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help-1
d80d9cc731264394aa1c087081f28298
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Susperman
01/28/2022 10:44:00
lol
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:44:35
Let's try that method I said, with my example
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:44:40
2x^2 - 3x - 9
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:44:47
So AC = -18
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:45:15
The factors of 18 are (1, 18), (2, 9), (3, 6)
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help-1
d80d9cc731264394aa1c087081f28298
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Susperman
01/28/2022 10:45:45
Dear Math, please grow up and solve your own problems, I'm tired of solving them for you.
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help-1
d80d9cc731264394aa1c087081f28298
870,142,169,061,679,100
Susperman
01/28/2022 10:45:53
huh
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d80d9cc731264394aa1c087081f28298
870,142,169,061,679,100
Susperman
01/28/2022 10:45:55
ill also help
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:45:57
Stop
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help-1
d80d9cc731264394aa1c087081f28298
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Susperman
01/28/2022 10:46:00
tell me da question
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d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:46:04
@Helpers
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help-1
d80d9cc731264394aa1c087081f28298
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dldh06
01/28/2022 10:46:04
Not asking for your help
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help-1
d80d9cc731264394aa1c087081f28298
870,142,169,061,679,100
Susperman
01/28/2022 10:46:14
ill also welp
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d80d9cc731264394aa1c087081f28298
870,142,169,061,679,100
Susperman
01/28/2022 10:46:15
pls
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:46:16
I'm helping you?
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d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:46:29
Its not for you. This person is rather distracting
1
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help-1
d80d9cc731264394aa1c087081f28298
870,142,169,061,679,100
Susperman
01/28/2022 10:46:39
??
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d80d9cc731264394aa1c087081f28298
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Mrgir
01/28/2022 10:46:42
Thank you for helping me so far
1
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:47:26
So back to the process
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:47:39
2x^2 - 3x - 9 So AC = -18 The factors of 18 are (1, 18), (2, 9), (3, 6)
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:47:50
That's where we're at
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:47:57
Make sense so far?
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help-1
d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 10:48:10
So we want them to add up to C which is 9. So (3, 6) correct?
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:48:28
Not add to C
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:48:34
It adds to B
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Deleted User
0000
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205,704
help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:49:14
So because B = 3, the only possible combination, is (3, 6)
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:50:07
Because if you tried to do (1, 18) or (2, 9) in any combination, it can't be added to 3
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help-1
d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 10:50:15
Makes sense so far
1
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:50:49
And by combinations, I mean (1, 18), (-1, 18), (1, -18), (-1 , -18)
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:51:02
Applying negatives
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help-1
d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 10:51:21
Understood
1
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205,704
help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:51:56
So now we know the pair to use, (3, 6), what sign combination do we need to get -3?
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:52:15
Because specifically B = -3
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help-1
d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 10:52:32
3, -6
1
0
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205,704
help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:52:36
Yes
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:53:24
Now then next step, is you want to do $$\frac{A}{\text{Factors}}$$
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help-1
d80d9cc731264394aa1c087081f28298
510,789,298,321,096,700
TeXit
01/28/2022 10:53:27
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
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1
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205,704
help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:53:45
So the factor we determined is (3, -6)
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1
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:54:02
So we put A divided by that
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:54:07
A = 2
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205,704
help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:54:32
So $$\frac{2}{3}$$ and $$\frac{2}{-6}$$
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205,704
help-1
d80d9cc731264394aa1c087081f28298
510,789,298,321,096,700
TeXit
01/28/2022 10:54:34
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
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null
null
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205,704
help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:54:45
The sign also stays with the factor
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d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:54:57
Does it make sense to this point?
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d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 10:55:46
No, I do not understand what you are currently trying to explain to me.
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d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 10:55:57
Nor how it related to the original problem.
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:56:09
It's the last step for factoring
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r-11 solar
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d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:56:53
In that example, I'm doing, you need to simplify the fractions, if possible, the numerator is the term with x, denominator is the constant
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d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:56:59
So 2/-6 = 1/-3
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:57:24
So 2x^2 - 3x - 9 = (2x + 3)(1x - 3)
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:58:25
I'm explaining this process because, when you factor your problem, 44t - 16t^2 - 24, you're going to do that same process
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 10:59:39
Do AC, find the factors that add up to B, and stick it in a fraction form, because then you can see how it would match with the next step in your problem
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help-1
d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 11:00:24
Okay, I am sort of understanding now. In this case, A = -16 , C = -24, and B = 44 Correct?
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d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 11:00:35
Yes
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help-1
d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 11:00:57
So I am looking for factors of 384 that combine into 44
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 11:01:23
Yes
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help-1
d80d9cc731264394aa1c087081f28298
106,154,012,163,743,740
Mrgir
01/28/2022 11:02:01
So, 32 and 12 Then I take those under -16/ Correct?
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 11:02:11
Yes
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 11:02:40
So $$\frac{-16}{32}$$ and $$\frac{-16}{12}$$
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d80d9cc731264394aa1c087081f28298
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TeXit
01/28/2022 11:02:43
**dldh06**
https://cdn.discordapp.c…210272391178.png
485903210272391178.png
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d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 11:03:33
Notice how the next step, it gave (-16t + \_\_\_\_)(t - \_\_\_\_\_)
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help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 11:04:03
So as I mentioned the numerator is the term with the variable
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205,704
help-1
d80d9cc731264394aa1c087081f28298
485,903,210,272,391,200
dldh06
01/28/2022 11:04:40
But I also mentioned that you should simplify the fractions if possible
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