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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:01:04
1-5-(some positive number) = 20
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:01:06
not gonna work out
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:01:12
:hype:
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:01:37
you can restrict sgn(b) = sgn(d) since 1-5+bd=20
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:01:47
i guess db=16
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:01:50
is more sensible
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511,338,424,100,192,260
Shazam
01/20/2022 22:20:53
Jan imma be honest I am Dead lost with everything have no clue where to start or what to do lol and its due in 50 mins
1
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d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:21:04
:monkey:
1
0
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:29:29
so
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:29:41
we can go piece by piece
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:29:43
if you want
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:29:46
idk how long thatll take
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:29:53
but ping me if u wanna
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511,338,424,100,192,260
Shazam
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false
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:30:36
its 2/3 the points so worth doing
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:30:39
if you wanna spend the time
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:30:43
its really just uhh
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:30:54
1. do f(x) - g(x) = 0
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jan Niku
01/20/2022 22:31:07
2. we know the form is ( some quadratic )( some other quadratic )
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:31:26
3. you know the leading and guess (pretend you guessed correctly) the constant coefficient in each
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:31:37
4. you multiply it out and equate coefficients
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:31:42
thats like 90% of the problem
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:33:31
if you wanna we can work but u gotta say yea :sad:
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d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:36:06
I got 15 - 20 mins so what ever we can cover
1
0
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d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:36:18
Its g
1
0
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d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:36:23
even If I miss it
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:37:18
you need to write out f(X)-g(x)=0
0
1
511,338,424,100,192,260
Shazam
3953
Shazam
false
197
help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:37:24
i think thats a key part and you had it, right?
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:37:28
you wrote it somewhere up there ^
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Shazam
01/20/2022 22:37:32
yea
1
0
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:37:45
okay now its like this
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:37:55
you look at that picture and see them cross in two places, yea?
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:38:10
and then theyre pretty far apart every where else and dont look like theyre gonna cross again
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d76a73646c034e80904d6e193e371358
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Shazam
01/20/2022 22:38:20
mhm
1
0
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:38:21
https://cdn.discordapp.c…2117/unknown.png
unknown.png
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:38:40
do you get why this means f(x)-g(x) will be into two quadratics?
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:39:01
like why we know that f(x)-g(x)=0 only has 2 real roots
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d76a73646c034e80904d6e193e371358
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Shazam
01/20/2022 22:39:11
Yes I get that
1
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:39:18
okay, so you assume the form
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:39:21
do you get the uhh
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:39:23
coefficient thing?
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:39:30
like getting to here
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:39:43
$(x^2 + bx -1 )( x^2 + dx +5 )$
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help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 22:39:46
**jan Niku**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
0
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:39:48
from where we are now
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d76a73646c034e80904d6e193e371358
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Shazam
01/20/2022 22:40:00
:sadcat:
1
0
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:40:05
thats fine lol
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:40:06
its a small leap
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:40:18
look at your f(x)-g(x)
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:40:25
you see the coefficient for the x^4 term?
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:40:30
whats the number out front
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d76a73646c034e80904d6e193e371358
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Shazam
01/20/2022 22:41:12
Wym
1
0
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:41:18
like you have a x^4 term
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help-10
d76a73646c034e80904d6e193e371358
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Shazam
01/20/2022 22:41:23
the f (x) term?
1
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:41:25
whats the number infront of x^4
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:41:31
no the whole f(x)-g(x) thing
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:41:47
$x^4+8x^3+20x^2+16x-5=0$
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help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 22:41:50
**jan Niku**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
0
1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:41:59
whats the number in front of x^4?
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d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:42:51
0?
1
0
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:43:08
0*x^4 = 0
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:43:14
the x^4 isnt 0
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:43:17
its x^4
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:43:22
x^4 times what equals x^4
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d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:43:29
1
1
0
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:43:31
yea
0
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:43:36
so the x^4 coefficient is 1
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:43:44
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
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help-10
d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:43:48
look at this and imagine distributing it
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:43:58
theres only one place where we can pick up a x^4 term
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jan Niku
01/20/2022 22:44:08
its when the x^2 hits the other x^2
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:44:20
we know that when this happens, that we only get one x^4 out
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:44:29
(if this thing is factored correctly at least)
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:44:41
so both x^2 and the other x^2 have to have a 1 coefficient too
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:44:44
does that make sense?
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d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:44:47
yup
1
0
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:44:51
okay
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:45:00
this is also how we know err
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:45:09
how we make a guess that -1 and 5 are the coefficients at the end
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:45:15
its the only place we pick up a constant
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:45:20
all the other terms have a x attached
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d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:45:28
mhm
1
0
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:45:31
now the fun part
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:45:34
you need to distribute
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d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:45:39
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
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d76a73646c034e80904d6e193e371358
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jan Niku
01/20/2022 22:45:44
expand this and group it by powers of x
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:45:55
this is the meat of the algebra for this problem, but its just algebra
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1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:46:18
you need to distribute it, group it by powers of x, then set it equal to x^4 +8x^3+20x^2+16x-5
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:46:25
ive sketched some of it back there ^
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1
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:47:25
x^4 + (b+d)x^2 + (5-1+db)x^2 +(5b-d)x - 5 = x^4 +8x^3 +20x^2 +16x -5
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0
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:47:27
This one?
1
0
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:47:40
this looks about right
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1
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:47:44
theres a typo
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1
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:47:50
(b+d)x^3
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:47:52
the second term
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:48:00
it says x^2 but it should be x^3
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1
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197
help-10
d76a73646c034e80904d6e193e371358
511,338,424,100,192,260
Shazam
01/20/2022 22:48:13
x^4 + (b+d)x^3 + (5-1+db)x^2 +(5b-d)x - 5 = x^4 +8x^3 +20x^2 +16x -5
1
0
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:48:17
$x^4 + (b+d)x^3 + (5-1+db)x^2 +(5b-d)x - 5 = x^4 +8x^3 +20x^2 +16x -5$
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197
help-10
d76a73646c034e80904d6e193e371358
510,789,298,321,096,700
TeXit
01/20/2022 22:48:20
**jan Niku**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
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197
help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:48:29
algebra is on you though :catThink: since if you just write this down your teacher is prolly gonna be like what
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help-10
d76a73646c034e80904d6e193e371358
331,558,346,333,224,960
jan Niku
01/20/2022 22:48:29
anyways
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