Abstract Algebra | The division algorithm for polynomials.

[@tricksterloon]

what math exercise do you use for those biceps?

[@stephenbeck7222]

Multivariable Curling, certainly.

[@talastra]

It's nice to see how you have changed over the years of your presentations. You speak more slowly and clearly now. Good decision.

[@drpkmath12345]

Your third example is almost identical with the one I used to teach that back in 2017. It looked somewhat familiar and I just looked up my materials~ Great and nice explanation!

[@Tucxy]

Wow this is really good. This dude has great abstract algebra content

[@GOATvoldemort]

Sir Can you make more videos on this type of Polynomial Concept.

[@drpkmath12345]

Pratyush Kumar Wish I can be of help!

[@michaelcamp2870]

Excellent video. Thanks so much!

[@Sofialovesmath]

Great lecture

[@divya296]

Well explained

[@sea34101]

I think that the example in the video thumbnail is incorrect. You wrote x3-x2 = (x2+3)(x-1)+(3x+3) if you divide x3-x2 by x-1, you get x3-x2 = x2(x-1) if you divide x3-x2 by x2+3, you get x3-x2 = (x-1)(x2+3)-(3x-3)

[@Jkfgjfgjfkjg]

Yeah, the 3x in the remainder should be -3x. By the way, it couldn't be your first case because then the remainder would have the same degree as the quotient.

[@nogeun2]

Your video is helpful for me. :)

[@mepoor761]

thank you for this videos and thank you more for proving it by induction my professor probably is not going to accept other methods

[@alanchenjian7630]

Apply 1H to f(hat)(x) and g(x) may require they have the same order and it seems not guaranteed.

[@asht750]

I think you are mixing up the quotient, remainder, and divisor in your definition. Isn't deg (r) strictly less than deg (p)?