can you do a video including finding irrational zeroes? i have trouble finding all the zeroes when one is rational and the other two are irrational for example
This guy is incredible.. On the same level as Khan Academy in my opinion. He come's off as rude to his students though when they ask questions. I may be mis-reading things.. Great teacher though!
I suppose for time's sake he didn't explain why he did what he did there. He looked at where the value of x would be negative and what the (even and odd) degrees, as well as what the existing signs, would do to them. (Read more if you want to see how) [x^4-7x^3+10x^2+14x-24] He labeled the signs in order of how they would be set up using synthetic division. So if f(-x) is applied to the function... x^4 would then be (-x)^4 which is positive (+). Next, -7x^3 would then be -7(-x)^3 which, when taking a negative to an odd power it remains negative, but when -7 is multiplied to -x, it will become positive(+)... So on and so forth.. So the setup of synthetic division comes out to the the coefficients' signs being: +,+,+,-,- as derived when making the function f(-x) (BTW, did you notice that the last sign of the polynomial ---> [-24]
sorry about that, where is the error as I do not have it posted in the comments and would like to let anyone else know if I made a mistake so others are not confused
I've been watching your videos to help me get through my grade 12 U functions class. I do not have a teacher and you've been really helpful, however, I have no idea what you mean by f(-x) does anyone have a link to someone who has covered this??? thanks for any help
The inverse of the equation, if you have an equation and it says find the inverse, you need to solve for x in the normal order, then switch the x and y at the end
i have an equation on my practice exam thats f(x)= 8x^4-20x^3-14x^2+5x+3 to find all possible rational zeros and im still confused after watching this video.
Jesus Christ is coming soon, God is telling y'all to repent from your sins and live a life for him so you wont get left behind when he comes back and take his people.
I wish he was my math teacher in high school!
bro's better than all my math teachers combined.
can you do a video including finding irrational zeroes? i have trouble finding all the zeroes when one is rational and the other two are irrational for example
the way you explain this, is 10x more understanding than my teacher
Daddy McLogan coming in clutch🙌
This is the first video you confuse us with your explanation.
Us? I realize English is probably not your first language. When talking about yourself, use “me”.
He probably has another video showing the Descartes Rule of Signs.
@@andrewm6424 it’s not that serious pal
This guy is incredible.. On the same level as Khan Academy in my opinion. He come's off as rude to his students though when they ask questions. I may be mis-reading things.. Great teacher though!
I'm confused by when you do f(-x) and you get +++--
I suppose for time's sake he didn't explain why he did what he did there. He looked at where the value of x would be negative and what the (even and odd) degrees, as well as what the existing signs, would do to them. (Read more if you want to see how)
[x^4-7x^3+10x^2+14x-24] He labeled the signs in order of how they would be set up using synthetic division. So if f(-x) is applied to the function...
x^4 would then be (-x)^4 which is positive (+). Next, -7x^3 would then be -7(-x)^3 which, when taking a negative to an odd power it remains negative, but when -7 is multiplied to -x, it will become positive(+)... So on and so forth..
So the setup of synthetic division comes out to the the coefficients' signs being: +,+,+,-,- as derived when making the function f(-x)
(BTW, did you notice that the last sign of the polynomial ---> [-24]
@@dybrt150 great explanation thank you so much:')
Dead by the fact that he paused at 1:49
1:39
@@804drewskii6 100% call he was staring at a student 😂 my teacher does that to me sometimes
Thank you!! My problem was exactly addressed by your video!
perfect! happy to help
wth
@@harshabeelur282 hes not good at replying to people ignore it
@@lukas_g243 ikr
You literally have 100k views yet less than 1k likes. It’s an injustice
@@lukas_g243 He probably did reply to someone but it used to be that when you replied to someone the reply wasn’t attached to the comment
Thank you for your videos you teach me all the stuff my math teacher can't.
You are very welcome
I am so glad that I watched the entire video to catch the error, because I was watching this video to review for a test and I got so confused
sorry about that, where is the error as I do not have it posted in the comments and would like to let anyone else know if I made a mistake so others are not confused
When you re-wrote the factor around 8:24, but it is okay because I managed to watch the part where you caught your mistake.
ahhh okay, thanks!
@@brianmclogan oh okay
Your an amazing teacher please 🥺 keep teaching
also, does this work if any of the constants = 0 ?
i.e., ax^n + bx^(n-1) + cx^(n-2) + ... + k = f(x) and c = 0
2:47 i don't understand this part
what did you do to evaluate -x
I assume the silence and staring was at a kid who was on their phone. Hilarious way to call them out without interrupting yourself😂😂
All these examples use 1st coefficients of 1! I can’t find any with like, 11 or 6
Same!
This is like an experiment, whatever the number get me 0 at the end, that should be the answer.
2:32 what did she mean by subtract two?
Thank you for the video.
I’m am beyond lost usually his videos are slow and helpful
What is that graphing technologies?
does this work if k > a ?
What about when there is x cube missing in the equation? I am stuck with it right now
Julia G.길윤 it helps if you put it in as a 0x^3
How do you find the complex zeros?
easiest is using quadratic formula
I've been watching your videos to help me get through my grade 12 U functions class. I do not have a teacher and you've been really helpful, however, I have no idea what you mean by f(-x) does anyone have a link to someone who has covered this??? thanks for any help
It’s the inverse of y
substitute -x for x in the equation
The inverse of the equation, if you have an equation and it says find the inverse, you need to solve for x in the normal order, then switch the x and y at the end
So sorry never mind! I was wrong
What's the difference between the root of a polynomial and a zero? And is a rational root different from a real root?
roots and zeros are the same thing just a different name but idk the answer to the second question
im still confused when you say "3 or 1 positive "
the rule is the number of sign changes minus an even number
th-cam.com/video/EE6PAwZkUik/w-d-xo.html
what is the graphing technology that he is referring to? graphing calculator ?
Yeah
This is actually interesting
of course! haha
Just a questions, are zeros the same as roots?
Thank you so much! I finally understand it! ;) !
you are very welcome! happy to help
Thank youuuuuuuuuuu
Saved. My. Life.
super helpful man
i am going to go ahead and assume the kid at 1:35 had his phone out
You gave the stare of death at 1:48, scared even me..
😡😡😡🙀🙀🙀
i have an equation on my practice exam thats f(x)= 8x^4-20x^3-14x^2+5x+3 to find all possible rational zeros and im still confused after watching this video.
you really unique
Thanks for the videos you made it really helpful understanding this material. Question? Where does this math apply to literally anything in real life?
this was very good but you are too fast, which is hard for others to undestand
3:56 clever
GOD BLESS
watching Randy Orton explaining how to handle tommorow's exam
For this Indrajeet's Law is very easy law to solve it, so first of all you should read this law on Google.
good brain
I don't get it
what if the constant = 0
Like 4x^3+3x^2-6x? Then factor out the x, and use quadratic formula to find the zeroes
Brainy😀
And thank you REPENT AND BE BAPTISED IN LORD JESUS NAME AMEN!!!
your q looks like an 8
fr
I wish my teahcer agreed with graphing technology lol, who cares how you get the answer.
Why maths is so hard?
I’m just getting more confused :/
He is too fast. I am very confused . He messed up the board real bad.
Most of it is application from previous videos. I thought so too when I first watched, but look around and it should come together.
Jesus Christ is coming soon, God is telling y'all to repent from your sins and live a life for him so you wont get left behind when he comes back and take his people.
how did you figure out the negative part? I still don't understand.