I am currently struggling in math because of today's online classes due to this covid... this video helped me a lot and I want to thank Khan Academy for this... Love from the Philippines!
Guys your teacher make you learn this. We are in 12th standard even now unless we are studing for competitive exam we have to deal with that long division method.
Thanks! I'm in 9th and I'm in algebra 2 honors, and my teacher doesn't describe the lesson well this helps a lot! *subscribe* you make it easyer to understand! Precal and algebra 1 for collage here i come! (Nxt year) ;-; ~tear
This is extremely helpful for me. Even though im just grade 8, the teach me the topics of 9th or 10th. While my sir was teaching, I couldnt understand. But now I can see everything coming together. Very very thank you❤
for the bottom equation, the one that your dividing by all your doing is finding the zero of it/roots so basically X+4 is X+4=0, that's why it is -4 and if you graph y=x+4 the root aka x-int is -4 same if you divide the polynomial by x^2-1, you find the zeros which are 1 and -1 and use it for the synthetic division(same place the -4 was put in the videos example)
I prefer traditional long division but I had a problem that it didn't work for. Please tell me if i am making simple mistakes or synthetic only works for this problem. PROBLEM: (x⁴−3x³+x-4)(x+1)
but what part is the remainder and what part is the quotient? the remainder would be the last term on the bottom right? and then would the quotient just be the original x-a term?
The 3 itself isn't getting squared. It's the X that's getting squared. After setting aside the remainder, you start with the constant (30) and take it from there by increasing the power by one as you move from the right to the left. So you have 30, then -8x (or -8x^1), then 3x^2. If he had ended up with more numbers, the powers would keep increasing by one. So for example, and this is only an example mind, assume he'd ended up with 8, 5, 3, -8, 30 and -121. In this case, he would set aside the -121 as the remainder and again start on 30. That would be 8x^4, 5x^3, 3x^2, -8x and 30. I hope this helped. :)
I love learning math at home because i can say "Oh shitttttt" and "HELL YEAHHH" whenever i get something.
Gavin Williams SAME omg
Same 😂😂
Good job gavin
Just to say, I don't swear
Same 👌🏽🤣
I just love how I can learn in five minutes what takes a normal teacher 30 minutes to teach thanks
Absolutely dear❤❤❤
He makes me laugh sometimes "it may seem like voooodoooo" :P
My class is for 40 minutes. I do not understand a thing my teacher is saying but you taught it to me in 6 minutes. Thank you
Great dear
Wasn't paying attention in class today so I missed this lesson in class... Thanks!
gamerprince1999 same honestly
same lol
middle schoolers up in here sayin they're doin this, meanwhile I'm in college having to do this DX
Don't feel bad. I am in the same boat.
Same, mate
And now you are 7 years past college and I hope your life is doing good
@@animationspace8550 nope
f
when exams are coming up and u need to be refreshed
Or when you are behind in math.
@@tinaandersen3270 me
I have an exam on Wednesday
Mood I have a midterm tmrw
Timeless comment
I am currently struggling in math because of today's online classes due to this covid... this video helped me a lot and I want to thank Khan Academy for this...
Love from the Philippines!
Guys your teacher make you learn this. We are in 12th standard even now unless we are studing for competitive exam we have to deal with that long division method.
Thanks! I'm in 9th and I'm in algebra 2 honors, and my teacher doesn't describe the lesson well this helps a lot! *subscribe* you make it easyer to understand! Precal and algebra 1 for collage here i come! (Nxt year) ;-; ~tear
Taryn Mccain why do you have to re-take algebra 1?
Nico Johnston he said it's collage tier algebra 1.
wow I feel stupid, thanks though
Omg same 7th grade here taking alegebra 1 gotta prepare for a test
Yikessss😫😫😥😥
I took calc in 8th grade, i feel your pain
Doing this in highschool gonna fail my class I have the test tmr prayers everyone please
Extremely helpful, thanks a bunch
I've always heard, "Set (x + 4) = 0" But same concept, same result using the negative of 4 ( -4 )
This is extremely helpful for me. Even though im just grade 8, the teach me the topics of 9th or 10th. While my sir was teaching, I couldnt understand. But now I can see everything coming together. Very very thank you❤
Im an 8th grader and we are doing this in Pre Ap Algebra 1 i didnt get it when my teacher explained it so so but this helped a lot thanks
for the bottom equation, the one that your dividing by all your doing is finding the zero of it/roots so basically X+4 is X+4=0, that's why it is -4 and if you graph y=x+4 the root aka x-int is -4 same if you divide the polynomial by x^2-1, you find the zeros which are 1 and -1 and use it for the synthetic division(same place the -4 was put in the videos example)
4:07 "drumroll right over here" isn't he the best :'))
lol people need to stop bragging about what age they're learning this at
Yeah dear
Ah, thanks so much! Kahn Academy is awesome!
thank you👌🏼
this is so much easier than long division with polynomials
10 questions 1. Are you sure you cant do it with coefficient? do you know binary?
Thank you
Sal Khan is the math god in human form.
I prefer traditional long division but I had a problem that it didn't work for. Please tell me if i am making simple mistakes or synthetic only works for this problem. PROBLEM: (x⁴−3x³+x-4)(x+1)
Ehh I kinda figured it out but I'll leave this comment, I was putting an unnecessary negative sign
I also prefer normal long division, even for polynomials. But I haven't seen the synthetic division before. :)
idk what this guy's name is, but he's my favorite on khan academy
Sal Khan, the founder of Khan academy. He's my favorite as well :D
Love the World of Goo reference btw!
thanks man 🔥
thank you very much very helpful!
I have one question sal at 2:28 is there a reason why u have to take the negative?
Thanks!!! For a really effective explaination.. I think I finally understood something in math😂😂😂.
Ma Sha Allah.
Nice.
Thanks.
you are a life saver thank you
Why
@@Otaku_chan-bi9wv because i just got an 100 on my test duhh
You have saved my life!
Thank you so much. You explained it better than my teacher.
Thank u so much....i have an exam today..
Thanks for sharing...
Thank you sooo much.It help alot
This video is very helpful especially for me because we are just in 8th grade but we are already studying about thism
This has saved me from having the most miserable night of precalc in my life. Many thanks!
Really nice....sir
Dude thanks! you helped.
Great video
Great video!
Amazing video; thank you very much
I hope that this video is more helpful then the other video.
yow! thanks so much it will soon help in my ft tomorrow because i got zero on my 2 ft hopefully it will develop my score
Sir please make a video or tell me the derivation of synthetic divsion
GOD job thanks
HAVING THE BOARD BLACK AND THE WRITING SO MINUTE MAKES IT A BIT AWKWARD...DON'T YOU THINK SO!???
Why is khan academy more helpful than my math teacher
Because in your classroom there are abunch of kids and because the teacher is helping everyone not one person at a time
FINALLY I UNDERSTAND HOW THIS WORKS!
Question.. why do you change the +4 on the bottom to a negative in dividing?
Britney Campbell You set it equal to zero, x+4=0, subtract 4 from both sides, *boom* you get -4
my dad made me learn this over summer break. and im in 7th grade. and ive forgotten already.
today is my exam lol thbx
amruta bhoi How'd you do lol?
Following The Most High I solved by the same synthetic method As shown in video
amruta bhoi same, mines tomorrow 😂
Mines tomorrow also XD
Mine is tomorrow... (This is such a late comment)
So what if the bottom is already a negative, do you keep it as is or change the sign to positive?
i love ur language...cool
Dude! what method are you using?
Thanks I get it noa
you da man thanks
does he have a video of the extra bells and whistles required to do this when the coefficient of your divisor isn't 1?
pure magic
Nice.
Yee thank you ShakaKHAN
IT IS VOOOOOODOOOOOO!!
WOOWW BUT THE NEGATIVE IS CONFUSING ME
but what part is the remainder and what part is the quotient? the remainder would be the last term on the bottom right? and then would the quotient just be the original x-a term?
thanks sal
America: its so hard
Philippine: u Sure about that
First time I've ever been early to class.
What are the daily applications for this type of math?
But why is the 4 negative?
At the start what if it's already negative do we change it into positive
Doesn’t make sense, why are we separating the -121 ?
Because synthetic division always has to end with a 0. But it is -121 so we make it a fraction.
I have an exam tomorrow and finals next week :’) IM DOOMED JVKCK K K
Anyone else wonder how his handwriting is so good?
Pen tablet and practice probably
i hate online classes...
Mathemagic?
Cool
So the last term is always the remainder?
I find this video offensive I'm an active voodoo conjurer.
your joking right
Lol I don't think Ian is 😂😂
Who invented this, long division makes so much more sense in my opinion
Holy shit, Mind Blown.
Are you a wizard?
I am 9 years old. Why is this in my recommendations.
Was being an idiot and didn't do my work during thie quarantine and now i gotta do it
Sal to the rescue
Hey, I don't understand you said there would be square 3 but where is the x coming from?, should I just follow that without any reason? please help.
The 3 itself isn't getting squared. It's the X that's getting squared. After setting aside the remainder, you start with the constant (30) and take it from there by increasing the power by one as you move from the right to the left. So you have 30, then -8x (or -8x^1), then 3x^2. If he had ended up with more numbers, the powers would keep increasing by one.
So for example, and this is only an example mind, assume he'd ended up with 8, 5, 3, -8, 30 and -121. In this case, he would set aside the -121 as the remainder and again start on 30. That would be 8x^4, 5x^3, 3x^2, -8x and 30.
I hope this helped. :)
All my math teachers got confused when I used synthetic division. I just felt the "traditional" way took up way too much space.
❤❤❤👍👍👍
Who watched this video bcuz u have Quiz for Calculas tomorrow
What happens if the bottom is 2x +8?
do synthetic division with numerical coeficient
do it if its no voodo magic!!!
#dooksrR'us
Isn't this a Horner scheme?
taking my exams later and still watching this tho! much needed!!!
My mind just got fucking blown.
-1 -(-120) = -1 + 120 = -119
Yay, cookies are way better than synthetic division.
VOODOO MAGIC
thumbs up if your in seventh grade.
top g
i hope this saves me from failing
Feels a lil’ bit lonely to be an 8th grader amongst sophomores and graduates.. 👉👈