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❤❤❤
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
He makes me laugh sometimes "it may seem like voooodoooo" :P
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
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.
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
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
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
I've always heard, "Set (x + 4) = 0" But same concept, same result using the negative of 4 ( -4 )
Doing this in highschool gonna fail my class I have the test tmr prayers everyone please
Extremely helpful, thanks a bunch
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)
Ah, thanks so much! Kahn Academy is awesome!
thank you👌🏼
I also prefer normal long division, even for polynomials. But I haven't seen the synthetic division before. :)
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?
4:07 "drumroll right over here" isn't he the best :'))
Thank you
Sal Khan is the math god in human form.
lol people need to stop bragging about what age they're learning this at
Yeah dear
Thank you so much. You explained it better than my teacher.
thank you very much very helpful!
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!
Ma Sha Allah.
Nice.
Thanks.
thanks man 🔥
This video is very helpful especially for me because we are just in 8th grade but we are already studying about thism
you are a life saver thank you
Why
@@Otaku_chan-bi9wv because i just got an 100 on my test duhh
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
You have saved my life!
Thank you sooo much.It help alot
Thanks for sharing...
I hope that this video is more helpful then the other video.
Thanks!!! For a really effective explaination.. I think I finally understood something in math😂😂😂.
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
FINALLY I UNDERSTAND HOW THIS WORKS!
Dude thanks! you helped.
Amazing video; thank you very much
Thank u so much....i have an exam today..
GOD job thanks
HAVING THE BOARD BLACK AND THE WRITING SO MINUTE MAKES IT A BIT AWKWARD...DON'T YOU THINK SO!???
This has saved me from having the most miserable night of precalc in my life. Many thanks!
Great video!
Great video
Sir please make a video or tell me the derivation of synthetic divsion
my dad made me learn this over summer break. and im in 7th grade. and ive forgotten already.
Really nice....sir
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
Yee thank you ShakaKHAN
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
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?
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
So what if the bottom is already a negative, do you keep it as is or change the sign to positive?
WOOWW BUT THE NEGATIVE IS CONFUSING ME
you da man thanks
I have one question sal at 2:28 is there a reason why u have to take the negative?
IT IS VOOOOOODOOOOOO!!
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)
i love ur language...cool
Thanks I get it noa
Nice.
At the start what if it's already negative do we change it into positive
Dude! what method are you using?
America: its so hard
Philippine: u Sure about that
thanks sal
First time I've ever been early to class.
What are the daily applications for this type of math?
i hate online classes...
Anyone else wonder how his handwriting is so good?
Pen tablet and practice probably
But why is the 4 negative?
I have an exam tomorrow and finals next week :’) IM DOOMED JVKCK K K
do synthetic division with numerical coeficient
do it if its no voodo magic!!!
#dooksrR'us
Are you a wizard?
Was being an idiot and didn't do my work during thie quarantine and now i gotta do it
Sal to the rescue
All my math teachers got confused when I used synthetic division. I just felt the "traditional" way took up way too much space.
❤❤❤👍👍👍
Who invented this, long division makes so much more sense in my opinion
So the last term is always the remainder?
-1 -(-120) = -1 + 120 = -119
My mind just got fucking blown.
I find this video offensive I'm an active voodoo conjurer.
your joking right
Lol I don't think Ian is 😂😂
Cool
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. :)
Holy shit, Mind Blown.
I am 9 years old. Why is this in my recommendations.
Mathemagic?
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.
VOODOO MAGIC
thumbs up if your in seventh grade.
Who watched this video bcuz u have Quiz for Calculas tomorrow
What happens if the bottom is 2x +8?
Isn't this a Horner scheme?
ooooooooooooooooooooooooooooooooooooooooooooh lit
aka polynomial division. you just need to understand fractions.
top g
taking my exams later and still watching this tho! much needed!!!
i learned this with a different name, theorem of someone