Комментарии:
lol I had to double check my calculations but I'm glad people noticed
ОтветитьThank you bro
ОтветитьWhere did you get the 12x???
ОтветитьI used to do this in high school, doing it again now as an adult for fun. But I’m realizing why I was having such a hard time back then- this makes no sense.
Why in the world would I only divide and multiply by the first number? Nothing else gets multiplied by x…. Just the first number. Whether it’s x^2 in the first problem or 2x^3 in the second problem. Why????
Anybody in 2069🎉
ОтветитьI was confused in the last example, why did you put 0x3 between the 6x4 and (-9x2)?
Ответить45 x 3 is 135 and here my mom said weight lifting wouldn't help me in math
ОтветитьAnybody here in 2025?
ОтветитьBro 45*3 is not 145 it is 135
ОтветитьIs anyone here studying a few days to exam 😅
ОтветитьThank you
Ответитьdanko
Ответитьplease someone help me, will I just add 0x stuff if the following number that I will subtract on the first number is greater? is it just like borrowing?
Ответитьwhy did you add 0x³ on the last problem? is it because 9x² is greater than 6x⁴?
ОтветитьIn multivar watching this… is it over?
ОтветитьDifferent academic years but same problem 😞😮💨
ОтветитьHere I am, halfway through my calc 2 class, learning long division for the 2nd time.
ОтветитьYou are my pride and joy
ОтветитьAnyone in 2025 !!
Ответить2025 march anyone
ОтветитьThank you now i can understand much better
ОтветитьThank you so much, my teacher goes through examples too fast :c
Ответитьsmall correction at the end , 3 x 45 =135 not 145
ОтветитьWho’s watching in 2025
Ответить3 times 45 is 135 not 145
Ответитьthank u, taught me in 5 mins
ОтветитьMy favourite teacher 💃💃
Ответитьanyone in 2025
Ответить2025 anyone??????
ОтветитьAnybody still watching in 2025😂
Ответитьanybody watching in 1969?
ОтветитьThank you for the explanation
ОтветитьVery helpful! Thanks!
Ответитьi forget how to do polynomial division every year. I'm taking integral calculus in uni right now and now im here lmao
ОтветитьAny one in 2040?
ОтветитьBruh its 2025
Ответитьanybody still watching in 2025 ?
Ответить45*3 equals 135 not 145
ОтветитьYears have passed yet you still haven't corrected the mistake! 3 x 45 = 135 NOT 145. From that point on the answer is wrong. Please correct it!
ОтветитьTHANK YOI SO MUCH
ОтветитьCan the method of long division with polynomials be used for division in general? Short answer, yes.
Here's an example.
8547 / 231
We can treat this as (8x³ + 5x² + 4x + 7)/(2x² + 3x + 1), where x = 10.
Divide 8x³/2x² to get 4x
Multiply 4x by 2x² + 3x + 1 to get 8x³ + 12x² + 4x
Subtract 8x³ + 12x² + 4x from 8x³ + 5x² + 4x + 7 to get -7x² + 7
Divide -7x²/2x² to get -7/2 or -3.5
Multiply -3.5 by 2x² + 3x + 1 to get -7x² - 10.5x - 3.5
Subtract -7x² - 10.5x - 3.5 from -7x² + 7 to get 10.5x + 10.5
Since 10.5x + 10.5 is less than 2x² + 3x + 1 we can stop.
This means that (8x³ + 5x² + 4x + 7)/(2x² + 3x + 1) gives us (4x - 3.5) + (10.5x + 10.5)/(2x² + 3x + 1)
Now, what if we redo this, but replacing x with 10? We get the following steps:
Divide 8000/200 to get 40
Multiply 40 by 200 + 30 + 1 to get 8000 + 1200 + 40
Subtract 8000 + 1200 + 40 from 8000 + 500 + 40 + 7 to get -700 + 7
Divide -700/200 to get -7/2 or -3.5
Multiply -3.5 by 200 + 30 + 1 to get -700 - 105 - 3.5
Subtract -70 - 105 - 3.5 from -700 + 7 to get 105 + 10.5
Since 105 + 10.5 is less than 200 + 30 + 1 we can stop.
This means that (8000 + 500 + 40 + 7)/(200 + 30 + 1) gives us (40 - 3.5) + (105 + 10.5)/(200 + 30 + 1)
Now what happens if we simplify (40 - 3.5) + (105 + 10.5)/(200 + 30 + 1)?
(40 - 3.5) + (105 + 10.5)/(200 + 30 + 1) =
36.5 + 115.5/231 =
36.5 + 0.5 =
37
Therefore, 8547 / 231 = 37.
Of course, this there is by far a much quicker way to divide 8547 by 231 - you can simply subtract 231, or a multiple of 231 from 8547 until you reach 0.
8547 - 4620 = 8547 - (20 x 231) = 3927
3927 - 2310 = 3927 - (10 x 231) = 1617
1617 - 462 = 1617 - (2 x 231) = 1155
115 - 1155 = 1155 - (5 x 231) = 0
Therefore, we have a total of 8547 - (20 x 231) - (10 x 231) - (2 x 231) - (5 x 231) = 0
This can be factored as 8547 - ((20 + 10 + 2 + 5) x 231) = 0
Therefore, 8547 = (20 + 10 + 2 + 5) x 231 = 37 x 231
Therefore, 8547 / 231 = 37
45x multiplied by 3 is 135x not 145x
Ответить12 minutes ago i was a boy now i am a man 👨
ОтветитьThis ain't gonna help me in the real world
ОтветитьI was so irritated from algebra but now i understand everything. Thank you very much it is a very good explanation.
ОтветитьThanks a lot sir u helped me learn ti instantly i had annual exam tommorow and was worried how to solve it 😢😊thank u very much
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