#help-13
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where do u get -1 and 1
solve for a and b first
how did u got -2?
by solving
am i going mad or smth
a+b = 4 has no solution? maybe im just overloaded idk where im doing wrong
in the system i switched a+b=1 to a= 1/b, then substituted it for a in the a+b=4 but it gives me no solution
a+b=4
a*b=1 cant you solve this?
yes a=1/b you put in and get 1/b + b = 4 multiple by b b^2-4b+1=0 then solve quadratic
oh dude yeah
multiply not jst substitute
ok one sec
i will go offline after 10 mins
ah its okay then, ill just try to continue on my own
im a lil busy so i dont wanna keep the channel away from others
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I have gotten this far with the question but now I am stuck with the total and the cheese sections does anyone know how I can work these out?
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<@&286206848099549185>
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@rancid swift Has your question been resolved?
@rancid swift Has your question been resolved?
Try relating the rotations to the circumference of the tire
Is there a certain formula for that
I’m not sure how knowing the radius and rpm is going to give me the speed
Is there a formula I need to know
If you change rotations per minute to inches per minute by calculating circumference then you could convert that to miles per hour?
16/166360
@rancid swift Has your question been resolved?
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hi does this look like the correct region of integration for the following double integral?
@low jewel Has your question been resolved?
<@&286206848099549185>
after looking again, I think this is a more accurate region of integration?
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@low jewel Has your question been resolved?
what about the original equation y?
woudlnt that be a part of the region of integration?
@leaden otter thanks for the response though
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@main sage Has your question been resolved?
@main sage Has your question been resolved?
So you expand the top and you get cosx +cos^2 x + sin ^2 x. And you can combine cos^2 x + sin ^2 x to get 1 making the numerator cosx +1
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How do you do trig identities (prove both sides equal) for this
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Try dividing by cos²(x) on both numerator and denominator of LHS
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the right hand side will become (1+tanx)^2/(1-tanx)^2 after putting sec^2x=1+tan^2x.now put tanx=sinx/cosx
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@rotund fjord Has your question been resolved?
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have you made any progress so far?
yea, im unsure how to do it tho
find the greatest common factor of 18 and 106
wait let me try and see what i get one secon
i got 2 as the gcf
but for part a wouldn't the answer be something like y = a(x-r) (x-s)?
because i got 18x - 106 and im pretty sure it answers a
*3.
here the expression is linear in x so it cannot be written as a(x-r)(x-s)
oh okay, so that means the answer i have is for part a?
im confused then what does the first part of the question want me to answer?
ohh that makes sense
wait let me try solving this and let me know if my answer is correct
i got 232, is that right?
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Is the vectors: OB - OA, AB or BA
@opaque umbra Has your question been resolved?
<@&286206848099549185>
@opaque umbra Has your question been resolved?
ok, what's OA mean? vector O from A or A from O?
so now how would you write "B from A"
AB?
why is it AB
well there are two possible answers so
not atm, no
well OB-OA=BA => OB-BA=OA. you -BA vector is pointing in pointing in the opposite direction
OB-OA=BA yea but dont u flip OA
whats wrong
ig alright
yes
but i dont understand
i drew that figure right
and then i flipped OA because its negative
u did
then using tip to tail method I Get BA
yes
what is wrong
that's correct
u said its AB
@opaque umbra Has your question been resolved?
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Simplify
i) 322/391
ii) 247/209
iii) 117/156
Ping when replying
Find the GCM of the numerator and denominator
GCM?
Greatest common multiple
Kk
Yes
So 23 is the answer?
How to find final answer
Like 322 ÷ 23 and 391 ÷ 23
Alr
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Solve the following LPP by graphical method Minimize z = 5x1+4x2 Subject to constraints 4x1+ x2 ≥ 40 ;
2x1+3x2 ≥ 90 and x1, x2 > 0.
@steep basin Has your question been resolved?
and all they can say is
why are you so sad kid
thats what the mask is
thats what the poiNt oF tHe MaSk is
no dream song 🔫
but they told me to make dreams come true
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In a 20-floor house, an elevator has two buttons. Pressing "UP" gets the elevator up 13 floors; pressing "DOWN" gets the elevator down 8 floors. Is it possible to get from the 13th floor to the 8th floor? [If pushing a button would mean going to a floor that does not exist, the elevator does not move (e.g. pressing “UP” on the 10thfloor).]
please someone help
Isn’t it very obvious
Like from 13th you can only go down
13 ↓ 5 ↑ 18 ↓ 10 ↓ 2 ↑ 15 ↓ 7 ↑ 20 ↓ 12 ↓ 4 ↑ 17 ↓ 9↓ 1 ↑ 14 ↓ 6 ↑ 19 ↓ 11 ↓ 3 ↑ 16 ↓ 8
There’s no other way
@crimson sedge Has your question been resolved?
right
i see
is there an easier way to think about it tho?
@silk swift
What do you mean
like without making the list
13 ↓ 5 ↑ 18 ↓ 10 ↓ 2 ↑ 15 ↓ 7 ↑ 20 ↓ 12 ↓ 4 ↑ 17 ↓ 9↓ 1 ↑ 14 ↓ 6 ↑ 19 ↓ 11 ↓ 3 ↑ 16 ↓ 8
You could prob get a list of possible solutions by finding integer solutions for 13+13u-8d=8
It could still go above though
And that'd be real nasty
i don't think that that is the way
I mean it's a way
yeah
,w integer solutions 13+13x-8y=8
sometimes i shouldn't overthink it
So yeah n=0 ends up as the solution
You'd have to find a way to manually eliminate stuff
Like for example you can't ever go down twice in a row
So at the very least every other thing has to be a down
So if ups+downs<ups/2 then you can eliminate
That's super overthinking it though prob
Do you have any more context?
Like is this for a certain type of class
how is this solutionj
This is a really simple problem because there is only possible path:
13 ↓ 5 ↑ 18 ↓ 10 ↓ 2 ↑ 15 ↓ 7 ↑ 20 ↓ 12 ↓ 4 ↑ 17 ↓ 9↓ 1 ↑ 14 ↓ 6 ↑ 19 ↓ 11 ↓ 3 ↑ 16 ↓ 8
Therefore, it is possible.
@silk swift
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wait, what?
That wolfram alphas solution was potentially the same as his
this @graceful karma
Yes
what does it show
All of the possible solutions
how?
@crimson sedge Has your question been resolved?
It's just showing the possible solutions of 13+13a-8b=8
@crimson sedge Has your question been resolved?
The question says find the point of intersection of the two functions in red
This is how i did it but I'm not sure if it is correct
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i need to find the area of the shaded part
incorrect
line 2
-4(5-x) = -20 + 4x
-20 +4x?
yeah
-4*5 = -20
-4*(-x) = 4x
Oh yeah that's a stupid mistake
Damn
But it's the correct way to approach the question right?
yeah
@dense pilot Has your question been resolved?
are the lines going from the corners of the square towards the middle supposed to be in a 45 degree angle?
the lines are going from the corners of the square but the angle isnt given and they arent necessarily going through the middle, just the end and start are in the corners
Not possible
...
if u make the angle between the 4.5 line and the first 2 line smaller it evetually becomes a square
Yeah ive no clue how to solve that sorry
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for this question I got -1.5 but it says im wrong. Can anyone point out what I did wrong?
not if we can't see your work
but isn't negative 10 divided by 15 negative 1.5?
OH YES
now I know what I did wrong
I put the smallest number on top
instead the bottom right
wait but I thought a negative divided by a positive is a negative
maximo
$\frac{10}{15} = \frac{2\cdot 5}{3\cdot 5}$
maximo
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What am I doing wrong?
@untold comet Has your question been resolved?
your coefficient is wrong
also I think you should simplify, it lowers the chance of a false negative
how is my coefficient wrong
what
it's a common error
0.53W^0.53?
0.12(0.53)W^0.53
yeah
try it
I would have tried this on my first attempt. Pretty confident.
I’d do what he says
🔫
capital w?
yes. Match the variables in the original problem
I'D Do WhAt He SaYs
oh, relax...the important thing is we understand the concept
this is my grade bro
so I think the problem here
it was my fault for trusting a random guy on the internet for help
lol, sorry man
but I think this is an implicit differentiation problem?
what unit is this from
What grade r u guys in
$\frac{dC}{dt}=0.0636W^{0.53}\frac{dW}{dt}$
Disorganized
Disorganized
Compile Error! Click the
reaction for more information.
(You may edit your message to recompile.)
maybe the question is wrong?
have u tried writing it using index notation?
bu changing the exponent to a fraction and simplifying after
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i have a weird question
how'd i know (x-1)^4 divided by (x-1)^3 would have a remainder or not?
also i know 2^4 divided by 2^3 has no remainder
its kinda abstract without expanding the whole (x-1)^4 and (x-1)^3 then put it into long division to see if it has a remainder or not
because (x-1)^4 = (x-1)^3 * (x-1)
then the (x-1) is the quotient i guess
what if its (32)(x-1)^4 divided by (x-1)^3
(32)(x-1)^4=(32)(x-1)^3 * (x-1)
so i guess it still has no remainder
ohhh i got another question
does (x-1)^2 divided by (x-1)^3 has a remainder
when we talk about remainder the number we work with are integers I think
so you can say the quotient is zero and remainder is (x-1)^3
if (x-1) is integer
what if the remainder isn't integers
i dont get it
it is like that by definition I think
i didnt know that remainder has to be integer
remainder only make senses in the integer realm
okay
obviously 5/2 = 2.5 in the real set, no remainder
oh I just look it up
there's actually remainder definition on the real realm too
sorry
the remainder is negative (x-1)^3
its wrong right?
god, what is the remainder when (x-1)^2 being divided by (x-1)^3
Am I right
@civic coral Has your question been resolved?
@civic coral Has your question been resolved?
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LeonNeol
yes
@civic coral Has your question been resolved?
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doesn't this mean that there are two increasing subsequences of the same length? eg
8, 11, 9, 1, 4, 6, 12, 10, 5, 7
here:
1, 4, 6, 12
5, 7, 8, 11
i don't see how
an increasing subsequence of length i_t + 1 can be built
follows, considering the fact that i_k is the length of the longest increasing subsequence
what the proof is saying is this:
there is an increasing sequence of length i_t starting at a_t, by the definition of i_t
in the case that a_s < a_t, if you prepend a_s to this sequence, you will get a sequence with one more term, which will go in contradiction with the assumption that i_s = i_t
prepend?
append at the beginning
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Need help
@barren harness you should actually post your question instead of just going "i NeEd HeLp" and not saying anything else
oh, you posted something in another channel
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How can we show that arctan of (-1/sqrt3) equals -pi/6
what do you know about sin(-x) and cos(-x)?
and what would that tell you about tan(-x)
so you wish to solve:
wouldnt that make sin(-x) = -1 and cos(-x) = sqrt 3 as tan is sin over cosine
tan(x) = -1/sqrt(3)
for x within the range of the arctangent function
what is the range of the arctangent function
it is the interval (0,pi)
this is what the problem showed, I was able to find the answer by giving up but cant see how the last step converts from the arctan (-1/sqrt3)=-pi/6
do you have a unit circle graph
yes
it's pretty easy to verify
you will only really be asked about the values of these functions at very specific points
when is sin(x)/cos(x) = -1/sqrt(3) for -90<x<90?
i apologize.
oooh i see pi/6 is where the cos is -1/sqrt3
the range of the arctangent function is -90 to 90
we just need to convert the sqrt out of the denominator which gives us that value
thanks that helped a lot
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how do i approach these problems
@pale hazel That's a lot of questions. What have you tried?
i tried 9a
by making it arg(z-2) - arg(z) = pi/2
Ok good
i dont know where to go from there
z is rcisθ and z-2 is z shifted to the point 2+0i
How do they look generally on an argand diagram?
a line at origin
θ degrees from the horizontal
for z
and z-2 is that but on the point (2,0)
Xetrov
and z-2 is that point shifted two units to the left
This statement is correct and means that considering angles at the original, they're separated by pi/2
so what would it look like?
i looked at the answers
OHHH wait i get it now
if you move it around it forms the path of a semicircle
yep
There are a few shortcuts and as you go through them, you'll see them
okay thank you
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can I get some help
What did you get as an answer on a) ii?
right
in b, they tell you that the perimeter is 21.6cm, that means you can equate this number with the expression you found under a) ii, amd solve for x
my unit is quadratic expressions
i have to get it in that form
like x+x2+21.6= 0
like that
example
oh no, its just 4x+10=21.6
can you show what your expression is for the area?
just to make sure you got that right
okay
so, you have P = 4x+10 and A = x^2 + 5x
in part b you are told that the perimeter is 21.6 cm
yes
are you able to find the value of x?
why did you write 4x+10-21.6 and not 4x+10-21.6=0?
oh shi
sounds like you're either overthinking things or don't know how to solve a linear equation.
i forgot
i doooo
know how to solve these equations
4x+10-21.6= 0
okay, so keep going
4x-11.6= 0
i want you to solve this equation and tell me the value of x
yes, excellent
yay
why do you think it's wrong? do you think one of your steps was done incorrectly?
this is the 1st time I did it this way
so you didn't actually think it was wrong, you were just not confident that you did it right.
there's a big difference between these.
okay anyway you showed all your work so i can tell you that what you did is legitimate
now that we know x = 2.9, are you able to find the area?
4(2.9)+10?
no its giving me 21.6
so this is not the way
will I have to use x(x+5)
x2+5x= 2.9
no!
5x+x^2-2.9= 0
no!!!
you don't want "if the area is 2.9, what is x?"
you want "if x is 2.9, what's the area?"
yes
you don't need to solve a quadratic equation for this...
all you need to do is calculate the value of x(x+5) when x=2.9
so what that there's two x's
this shouldn't deter you
unless you are allergic to the concept of replacing x with 2.9 in more than one place
no... why are you replacing one of the x's with 2.9 but not the other
is this your first time evaluating an expression with more than one x in it
im in 8th...
anyway whatever i guess we can move on
yes
if the area is 176 cm^2, what is the perimeter
wouldnt say thats weird at all considering the fact that they needed help solving the problem
but ight go on
i'd say "evaluate this expression" is a much easier task than "solve this equation" even if the expression is 'complicated' by virtue of containing multiple instances of x
anyway

do you see how to proceed here?
i'm not asking you to calculate or solve anything, but i want you to say what you're setting out to do.
cause we findin perimeter
what equation you are going to solve, for example.
4x+10= 176
no
oh
does it say "the perimeter is 176"?
no it doesn't say "the perimeter is 176"
it says "the area is 176"
4(176)+10?
yup that was wrong
o
try to THINK instead of just plugging random shit into random places until it sticks.
such trial and error is no way to do math.
damn im sorry
Area = x^2 + 5x
Perimeter = 4x + 10
x = width of rectangle
Area = 176
if you keep all this in mind or on paper, it should be clear that the way to proceed is to write x^2 + 5x = 176
you should write down on paper what you know and what you want to find or do
not having a clear goal in mind will mean you can never solve any math problems ever
I cant understand this
please tell me which part you don't understand
we did the area but now perimeter
parts b and c are completely unrelated. calculations from part b will not have anything to do with part c.
.....
sorry
did you read what i wrote up there?
176/2
no
read this and tell me if you don't understand something
first and foremost you 'have to' find the value of x.
yes
because that's what your sides are expressed in terms of
do you understand how to find the value of x, yes or no
okay, tell me how to find the value of x
i don't want you to actually go and find the value of x, only tell me what you'll do to find it.
2x= 172?
oh wait I have to find the dimensions
minus x1
yes
are you actually paying attention to the things i'm telling you
bc i think you aren't
i am
did you read this?
i did
and this?
x is width
answer my question
oh I dint see that
should i say everything three times to make sure it gets across
oh no what have I done
I used area to find perimeter and perimeter to find area
oh no
5x+x^2= 176
5x+x^2-176= 0
x+x^2-35.2= 0?
this is gonna be wrong
did you try to divide both sides by 5?
u mean 0/5?
i mean exactly what i said
you now started with the correct equation, but then you did some nonsense
and i'm trying to get you to understand why and how what you did is nonsense
x+x^2= 35.2
this one is ok
this one is not
-35.2
will you listen to me or not?
how many times do i have to say things before you react to them???
sorry
so you tried to divide both sides by 5, yes?
yes
but for some reason x^2 was completely unaffected
even though it would have become x^2/5
but it didn't and that's your screwup that i've been trying to point out
and all this is even assuming we want to divide both sides by 5 in the first place, which if you ask me is kind of pointless here!
/ is the symbol for division...
Ann
yes
i think i'm unable to get anything across to you
spicy, do you want to take over
can you maybe try to teach minus x1 how to solve the equation x^2 + 5x = 176 without taking a detour into pointlessness
kinda busy rn, but ill help you later today if you still dont get it
@harsh onyx Has your question been resolved?
have you found an expression for dx in terms of u?
@harsh onyx Has your question been resolved?
Hey @tropic oxide I am sorry, I was reading the question the wrong way thats why I dint understand
yup
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pls help
solve f'(x) = 0
Idk how. I tried subbing in pi and pi/2 and they don't work
you can express $\cos 2t$ as $1-2\sin^2t$
kiid
I'm still confused
$-2\sin t + 2\cos 2t = -2\sin t + 2(1-2\sin^2 t) = -4\sin^2 t - 2\sin t + 2$
kiid
it becomes a quadratic so you can solve for t
There
There's no other way to solve it other than trig identities?
I kind of forgot them in calculus
you can graph the function other than that i dont think there are other ways
What trig identities do I need to know in general for these types of questions?
it varies so just know everything i guess
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help
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@kindred crystal do you have a specific questions or are you just plopping your nob on the table and hoping someone will come by and
@kindred crystal Has your question been resolved?
Just the first one?
I might be able to understand it if someone does that
ok, what have you tried
the solution doesn't require logarithms
just laws of exponents
@kindred crystal Has your question been resolved?
I will try that thanks a bunch
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Hello
Can you take 90 degree as theta in a triangle?(basic trigonometry
@teal quail Wdym
I am asking if this question is broken or not basically
Can you take the right angle as theta
I mean yeah
It won't give you much useful info for a triangle but sin and cos both can take 90
This question looks kinda sus.
Yeah it does
A is the point not the angle
But I can't imagine A is anything else
Well, a is also like angle a question mark?
So I guess try that
But if this is true, then what side is adjacent, what is opposite, what is hypotenuse
Nada
In traditional triangle trig you can't do anything with the right angle
It just has to be there for it to work
In the background
Ok
Triangle trig still isn't the extent of trig though
So the answer is still 0
Despite it not meaning anything on the triangle
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3 + 8 ( 2 - 6 ) = 2 +14
any thoughts on what you think you could start with?
distrubute?
I would probably simplify the right side as thats just addition and then do the bracket
what numbers would i simplify tho?
whats 2+14
16
okay
now do the bracket as that comes first in the order of operations
well first do the inside of the bracket
and then multiply what’s outside of the bracket (8) with what ur left with inside the bracket
this is the order of operations
so if you had something like (5+2) -8 * 8
u would do the brackets first
so you’d have 7-8*8 now
then you’d do multiplication and you’d have
7-64
and then u simplify that so u have -57
so with your equation :3 + 8 ( 2 - 6 ) = 16
do the brackets
Um, what?
I did the brackets
But where did 3 + 8 = 4, come from?
This
i subtracted 2 and 6
yep -4
Now explain the equal sign part
so now u have 3 + 8 ( -4) = 16
I'm confused on what the goal of this question is
its algebra
But what is the goal?
Are you checking to see if the left side equals right side?
Do you have the actual question?
that is the queston/
Like if it was typed on paper, can you post a picture of it?
it wasnt?
Because I don't understand what you wrote
its 3 + 8 (2 -6) = 2 +14
No it's not, that can't be right
Why is there 14t? Or whatever that symbol next to 14
its not t its a postive 14
But what's that symbol next to 14? Positive?
You're missing too much information, like the actual question itself from the teacher
So what's the goal?
Because that question doesn't make sense
Like I said not enough details
how im i ment to know if she doesnt even say what the goal is?!
I'm telling you, that question is missing too much information
how can i grab informantion if she doesnt even say what it is
Like are you seeing if the left equals right?
idk probaly
Did you miswrite it? Because you could be missing variables
i didnt at all thats what it showed
I suggest, talk to your teacher
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Know that to solve 1 you'll require (-b/2a,f -b/2a ) that only works on quadratics not quartic's, so how do I solve no.2
x² * (...)
the last term ist wrong
*2
now it's right
and you can now use the fact that for: x * (...) = 0
x = 0 AND/OR (...) = 0
And because (...) is quadratic... 😉
How do you solve the quadratic in the brackets?
(-b/2a,f -b/2a )
,w -x^4+x^3+2x^2=0
well, looks right
looks like ive misused this?
,w extrema -x^4+x^3+2x^2
@wheat merlin Has your question been resolved?
<@&286206848099549185>
@wheat merlin Has your question been resolved?
@wheat merlin Has your question been resolved?
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✅
@wheat merlin Has your question been resolved?
i think ur trying to use quadratic formula but u dont need that to factorise the quadratic u had in the bracket
u have x^2 (-x^2+x+2)
so factor the bracket (-x^2 + x + 2)
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2(3x+2)(3x-2y) - (3x-y)^2
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a man has 2x^2 apples and every day he adds the derivative of his amount of apples. How many apples does he have on day 7?
@woeful spear Has your question been resolved?
Is that it? The entire question?
unique question
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i need to understand the idea of what to do
no
quite unfortunate
that's the rational zero theorem
so i'm not quite sure why you're doing questions on it without learning it
my inability to remember what was said in class and also falling asleep contributed to this
if i'm not mistaken, that's what it's supposed to be taught as
$\frac{\text{factors of constant}}{\text{factors of leading coefficient}}$
it was, but its hard to learn it when my lazy ass was asleep so thats my problem
a disappointing son
gives you your rational zeroes
then use synthetic division to see if it's actually a zero
This precalculus video tutorial provides a basic introduction into synthetic division of polynomials. You can use it to find the quotient and remainder of a division problem with polynomials. This video contains plenty of examples and practice problems.
My E-Book: https://amzn.to/3B9c08z
Video Playlists: https://www.video-tutor.net
Homewo...
this good man will tell you
Long division is easier 😎
thank you
wait
i remember this
just by the thumbnail
too vague have to watc hthe video
@crimson sedge Has your question been resolved?

