Synthetic Division vs. Long Division

In this video, I compare two different ways of dividing polynomials. First I show how to solve polynomial division via long division, then I show how to do a much quicker method known as synthetic division.

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[ltspaniard]

Thank you so much, you teach better than my teacher with 20+ years of experience

[ahmedsomavito]

Hey,
Thank you for the vedio, i really understand the both of division, may you make a vedio about partial fraction.. please

[blueshades]

Thanks I have an exam on Monday ! Really helped

[TheKeatonmr]

please tell me I am not the only one who laughed that "Paul" is doing "Polynomials" (Paulynomials)

[Ckdude]

Wow amazing tutorial on the long division.

[shin-ishikiri-no]

Why are you omitting the negative on the left side of (x^3 - x^2), (-4x^2 + 4x), and (-5x + 5)?

Also, why is something I learned in elementary school so complicated even now? WTF.

[nightsstuff]

How would you solve it If, there was More than 2 terms in the dividend? What do you do then?

[thomasklugh]

I'll tell you what has always made learning very difficult for me as I was growing up. It's non-sensical names academicians gave to things. In this case, Long and "Synthetic" division. Really? Synthetic? Does that even make sense? If the longer method was called "Long" division, then what would you call the method that takes less time, is easier to do, and is SHORTER? Anyone? Any takers? I'll give you a hint: It, too begins with an "S", but it's not "Synthetic".
(By the way... Nice video)

[christinageorge]

thank-you so much, this video helped me a lot 😃😃

[aname]

the issue with synthetic is that if they dont give you the number to divide it by you have to guess which number its divided so you do more work then if you just did long division method

[SISKCERTWaJaVlogs]

is it possible to synthetic division if the nth term is greater than 1

[cwest]

how do you know when to use which method

[makaylasimmons]

Is synthetic division the same as long division??

[calebalbright]

You put -4x^2-x+5
-4x^2+4x
You were supposed to make the 4x^2 positive when you bring it down because the way you did it would come out as -8x^2 not zero