Algebra - Free Formula Sheets: bit.ly/3CBeZMY Final Exams and Video Playlists: www.video-tutor.net/ Next Video: ruclips.net/video/bWVhwYdSnfk/видео.html
When you have a gift it can seem wild to those who don’t share the same gift, he probably understands saying or teaching something that may seem complex to many that the best way is to try to make it sound as simple as possible and it seems that he loves teaching.
was gonna say i didn’t understand the long division part then i watched his video explaining how to do them and now this video is so easy to understand. guy’s a genius
very late reply but there is a quicker way called synthetic division, when you're dividing by those trinomials with a binomial it makes it so much easier.
in the first case of slant asymptote the asymptote does not exist since the remainder of long division is zero and if we cancel out the terms we see that we get linear function with equation y = x + 2 with a missing point at x = -3 which lies on the asymptote and that contradicts with the definition of an asymptote
I hv exam of calculus on 21 dec, well this sir is gonna help me so much, u teach so well , i only have watched 2videos of yours and i feel like i will pass onlye because of you sir ,thank you 🤞✨
its easy to remember if u think like this... Think the rational expression as a building if its top heavy just by one it will collapse but not desintagrate resulting in a oblique line if its top heavy by more than one it will collapse and desintagrate, theres no line! if its bottom heavy well the building its on the floor as it should be, y=0 if top and bottom are equally heavy, then divide those bad boys
I'm talking about: x^2+5x+6/X+3, but algebraic long division is probably something to get marks in the exam, rather than factoring, both ways are not that hard, after you explained them.
tenure this is when school sign contracts with teacher pretty much guarantees them a job for life no matter what. That's why when you get a bad teacher most of the time they get away with it. Even if they are so bad and the school decides to fire them the school has to go through a complicated process that can last at least a year or longer. Chances of a teacher getting fired is 1 in 2000 compared to a doctor which is 1 in 57. The American public school system sucks. We need more teachers like this dude.
I have a teacher for calculus 1 that hasn't taught for 14 years and came back and she is terrible at teaching she goes on the textbook says copy down this example (explains nothing) then says to do questions 1-4 without telling us how to do it so every class we have to learn it on our own
Sorry, how can there be a slant asymptote if the equation at 5:20 factors cleanly into [x+2] without a remainder? Shouldn't there be a slant asymptote only if it leaves a remainder?
THANK YOU 💚👀✨ I didn't understand how to find Slant asymptote, but I'll understand I watched this video twice, and now I better understand how to find slant asymptote :з)
OMG! I thought I was the only one losing my mind over here. I'm *fairly* certain, this would be a line with a hole. This dude now has me scouring the internet in search of my sanity.
*Why do bad teachers get paid?:* tenure this is when school sign contracts with teacher pretty much guarantees them a job for life no matter what. That's why when you get a bad teacher most of the time they get away with it. Even if they are so bad and the school decides to fire them the school has to go through a complicated process that can last at least a year or longer. Chances of a teacher getting fired is 1 in 2000 compared to a doctor which is 1 in 57. The American public school system sucks. We need more teachers like this dude.
Im confused about if these rules ALWAYS apply. For instance take (5x + 1) / (x^2 - x - 1) and graph it in the graphing calculator. There appears to be a horizontal asymptote at y = 0. However there is a vertical like that strikes through y = 0 in between 2 other lines in the function. Does the horizontal asymptote still apply?? Do these set of rules apply no matter what? If anyone could help that would be wonderful!! Thank you
is there a way to rationally calculate these without knowing any tricks like "If the degree is the same devide the coefficients". I want to know how to look at a function and see in my head where the asymptotes would be
Y=(x²-3x+4)/(x²-6x+8) Y=1 is the horizontal asymptote but when you graph it it is only applicable on the right side of the graph but when you extend the line y=1 to the left it will intersect the graph of the given rational equation.
Algebra - Free Formula Sheets: bit.ly/3CBeZMY
Final Exams and Video Playlists: www.video-tutor.net/
Next Video: ruclips.net/video/bWVhwYdSnfk/видео.html
Thank you
Why does this guy make things look so much more easier than my teacher does, your actually going to help me pass my precalculas class
My teacher is doing this in algebra 2 😸
@@nightandday7704 the go over it in pre-calc too
When you have a gift it can seem wild to those who don’t share the same gift, he probably understands saying or teaching something that may seem complex to many that the best way is to try to make it sound as simple as possible and it seems that he loves teaching.
I’m in the same exact situation lmao
literally i’m in this exact position
He's always so calm in every single video. Just peaceful teaching. And he breaks everything down so well.
There’s a special place in heaven for you
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I wish every teacher in the world would teach like you do.
was gonna say i didn’t understand the long division part then i watched his video explaining how to do them and now this video is so easy to understand. guy’s a genius
very late reply but there is a quicker way called synthetic division, when you're dividing by those trinomials with a binomial it makes it so much easier.
I have a national exam in 2 months and you've relieved a lot of stress for me. Thank you so much. God bless you!!!
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MR. Organic Chemistry tutor ,thank you for a well explained and solid analysis of Horizontal and Slant Asymptotes in precalculus.
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in the first case of slant asymptote the asymptote does not exist since the remainder of long division is zero and if we cancel out the terms we see that we get linear function with equation y = x + 2 with a missing point at x = -3 which lies on the asymptote and that contradicts with the definition of an asymptote
exactly i was confused on why he said it was slant
I'm writing my second Calculus test on Thursday, and I'm confident I'm also gonna pass it. Thank you for your existence❤️
Damn this guy just taught me all the knowledge my teacher has been teaching us for weeks that I haven’t understood until now
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10:01 lmao i thought it was (7x-y) + y but the y was actually 4 😂 anyways great video man!
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I hv exam of calculus on 21 dec, well this sir is gonna help me so much, u teach so well , i only have watched 2videos of yours and i feel like i will pass onlye because of you sir ,thank you 🤞✨
Comment for engagement
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I will send this video to my teacher so that he learns from you, you are a master at teaching, he tries to make it 10x harder than it is
its easy to remember if u think like this...
Think the rational expression as a building
if its top heavy just by one it will collapse but not desintagrate resulting in a oblique line
if its top heavy by more than one it will collapse and desintagrate, theres no line!
if its bottom heavy well the building its on the floor as it should be, y=0
if top and bottom are equally heavy, then divide those bad boys
omg... this is genius thank you
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Straight to the point
Btw thanks bro
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I'm talking about: x^2+5x+6/X+3, but algebraic long division is probably something to get marks in the exam, rather than factoring, both ways are not that hard, after you explained them.
I really like watching math videos by this man
8:28 but that one has an asymptote where it's a cubic function
Why do teachers get paid when I don’t even learn from them.
Question of the century
tenure this is when school sign contracts with teacher pretty much guarantees them a job for life no matter what. That's why when you get a bad teacher most of the time they get away with it. Even if they are so bad and the school decides to fire them the school has to go through a complicated process that can last at least a year or longer. Chances of a teacher getting fired is 1 in 2000 compared to a doctor which is 1 in 57. The American public school system sucks. We need more teachers like this dude.
I have a teacher for calculus 1 that hasn't taught for 14 years and came back and she is terrible at teaching she goes on the textbook says copy down this example (explains nothing) then says to do questions 1-4 without telling us how to do it so every class we have to learn it on our own
Sorry, how can there be a slant asymptote if the equation at 5:20 factors cleanly into [x+2] without a remainder? Shouldn't there be a slant asymptote only if it leaves a remainder?
yes i think youre right, he made a mistake
Dudeeeee this is so easy with youuu
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This man is saving me in precalc
SAME
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By the way, synthetic division can be used to find the asymptote, although it might be easier to use polynomial long division in certain situations.
Is synthetic devision the same as long division?
@@daniaalsadi7208 you end up getting the same answer in both but the way you get that answer is little different.
imo synthetic division is more convenient to use
Favorite teacher
Wow the book made no sense, but you came in and saved the day.
You came through brother! Thanks!
he was sick or something?
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THANK YOU 💚👀✨ I didn't understand how to find Slant asymptote, but I'll understand
I watched this video twice, and now I better understand how to find slant asymptote :з)
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4:00 - isn't this just equivalent to x+2, a linear function with no asymptotes?
OMG! I thought I was the only one losing my mind over here. I'm *fairly* certain, this would be a line with a hole. This dude now has me scouring the internet in search of my sanity.
thank you may God bless you more
Really useful, thank you so much!
you have taught me more math in 6 minutes than my entire last semester of school
*Why do bad teachers get paid?:* tenure this is when school sign contracts with teacher pretty much guarantees them a job for life no matter what. That's why when you get a bad teacher most of the time they get away with it. Even if they are so bad and the school decides to fire them the school has to go through a complicated process that can last at least a year or longer. Chances of a teacher getting fired is 1 in 2000 compared to a doctor which is 1 in 57. The American public school system sucks. We need more teachers like this dude.
I recommend watching waiting for superman if any of you are interested on this topic. It's currently on Netflix. Or just look up the facts
I wish we learnED this!
Organic chemistry teacher my beloved
At the class you think it is rocket science , but after watching this video it’s nothing. Thanks for your videos 🙏🏼🤍
Very good explanation.
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Im confused about if these rules ALWAYS apply. For instance take (5x + 1) / (x^2 - x - 1) and graph it in the graphing calculator. There appears to be a horizontal asymptote at y = 0. However there is a vertical like that strikes through y = 0 in between 2 other lines in the function. Does the horizontal asymptote still apply?? Do these set of rules apply no matter what? If anyone could help that would be wonderful!! Thank you
Ur videos are so helpful
is there a way to rationally calculate these without knowing any tricks like "If the degree is the same devide the coefficients".
I want to know how to look at a function and see in my head where the asymptotes would be
You are a legend
The third example at the end.. why is it bottom heavy? Wouldn't they both have a degree of 1? 10:05
Damn,U helped me alot bro
So helpful to me
Thank you so much good sir
Y=(x²-3x+4)/(x²-6x+8)
Y=1 is the horizontal asymptote but when you graph it it is only applicable on the right side of the graph but when you extend the line y=1 to the left it will intersect the graph of the given rational equation.
thankyou so much huhuhu iwant to cry