Algebraic Long Division

[Gabiex853]

This helps a lot, Sal. And heheheh the last comment is funny

[QFWGKTADGAF]

BITCHNIGGERFUCKCUNT

[MrMan264]

@QFWGKTADGAF How insightful

[QFWGKTADGAF]

@MrMan264 Thank you sir

[brtjansen]

can't say im following this without difficulty

[BluCheeeze]

-7x^2+4x^2=-3x^2 not -11x^2

[MediumNothinFull]

Sal is just one of the best people I can imagine on the planet!

[MediumNothinFull]

Sal, I Freigkin Love You Dude!!

[Thelizzardcat]

Oh thank god you covered this.  I was so confused when my teacher taught long division with polynomials. Thank you ^^

[MoiraaP]

THANK YOU :D come be my maths teacher?

[GenericCoder]

Yes it should be -51/4 instead of 51/4 I even checked it on wolfram alpha

When one checks on wolfram alpha it will get orginal equation but 51/4 won't get the orginal equation.

No problem though just little mistake great video though.

[fruitymonster2468]

-_______________-  FML...!

[rewanified09]

You love your colours, don't you?

[oODubKiwiOo]

you just made this way more confusing usually you're good

[pepteamsergi09]

What would it happen with the remainder if you're solving for A+B+C in a Partial Fraction Expansion??? TY

[HXCchris876]

helped alot.

helped me score a 75 on the asvab and got me a good job in the airforce.

:)

[joseph3156]

feaking dummy

[XBladeArt]

im confused.

[dbarrera767]

@asiandude1234567 Ooooh, yea I get it, thanks!

[dbarrera767]

could someone explain how 31/4 times 2x equals 31/2 x?

[NotAnyoneSpecial]

even though there is an obvious math fail, he's teaching the method not actually solving the expression. Again the bane of mathematicians, engineers and scientists everywhere - the FUCKING minus/plus sign.

[jenn4etag]

Yes, I need a video on synthetic division!

[212jbh]

The remainder should be (51/4)/(2x+1) just like doing the remainder for normal long division = 13/2 = 6 +remainder/divisor= 6+ 1/2

[MissFashionista95]

I freaking love you, Sal! You can explain this crap waaaay better than my teacher can. Thank you!!

Yours sincerely,

An algebra 2 student

[MrSahaj4]

thanks for putting this 

[thecj29]

Actually the 11 should be -3 x squared

[ECCY101]

struggled on this for such a long time, now i can do it :) thank you

[kingofthekit]

Check out what they are doing now on TED.com Bill Gates is helping out their cause. Look for Kahn Academy on TED.com

[angelfish43]

I get most of the principles but I have had trouble with fractions all along when paired with variables. Unfortunately this is our final :(

[MixesAndStuff]

You never introduced us to polynomials.

[iWriteUinMyDeathNote]

@MixesAndStuff look in developmental math

[mr1973Jesus]

next put hundreds numbers

[kcj1993]

I don't get this at all. :/

[goldncatnblaksuit007]

this guy sounds like secret agent bob...... sierously

[theonlylanceleft]

Thank you so much, I was in class today and completely dazzled and confused for I never learnt long division before but now it has just clicked, thanks.

[hatrancl]

wow and im going into algebra next year... im gonna be blank. this seems hard

[Chacec]

do algebra addition and subtraction pain and nothing add on to like z+4=6or5-o=2

[Sullenstarlght]

at the end shouldn't it be -51/4 as the remainder when you write it all out?

[pepteamsergi09]

@Sullenstarlght Yea.. I think you're right.. Well... It will be really hard to highlight that situation.

[TheReturnofDogen]

this guy makes so many errors in his videos....it's -3x^2

[thrashing0donut]

@TheReturnofDogen b/c you distribute, you subtract 8x^3 - (+) = (-) 4x^2 = -11x^2

[ALDabbagh1988]

@TheReturnofDogen Shouldnt you be thankful that there is someone giving help for free

[utnip123]

@TheReturnofDogen do the math right. Just like Khan said in traditional division, you subtract. so it was +4x^2

-7x^2 -(+4x^2) = 11x^2

[setboy1]

@TheReturnofDogen he might make a lot of errors, but that doesn't take away from the fact that he is teaching the method of how to do it pretty well in a lot of his videos. Which is what people need. It's all about understanding. Not about copying the right answer from the teacher every time. But right answers do help,

[FireTheDamnAWP]

Good video, you helped me with this and I thank you. :)

[hsktoadftw]

1 hour of khan=1 whole semester.

[windleon]

wait how is -7x^2 + 4x^2 = -11x^2? isnt it suppose to be -3x^2?

[shoaibrasouli]

no you are subtracting

-7x^2 - 4x^2 = 11x^2

[rapbattle1]

Enjoy the very long video, but at leas your not doing actual math

[Max11551]

I don't know what you all are talking about, but the only mistake I can spot is at the end, where he gets the sign wrong on the remainder -- it ought to be subtracted, instead of added, after the multiplication, ie.:

(2x+1)(4x^2 - (11/2)x + 31/4) + 51/4

Should be:

(2x+1)(4x^2 - (11/2)x + 31/4) - 51/4

Which gives the initial polynomial.

Great video! I've been looking for a good explanation of polynomial long division for a while. :-)

[suteerth12]

can u do on factorisation

[woodenjaw]

I like the complicated problem, it insures that you can handle any problem thrown at you. - Wait till you get to Calculus II.

[Bullwiggit]

Hey Sal, at the end don't you have to put the remainder over the divisor (i.e., -51/4 over 2x+1) so that the final remainder is (-51)/(8x+4)?

[zoazoon]

What Sal has is correct, but I thought that was wrong too and had to think about it.

Divisor*[Quotient + (Remainder/Divisor)] = Dividend

Sal just wrote this in a simplified form:

Divisor*Quotient + Remainder = Dividend

[zoazoon]

Well, let me back up. It is incorrect due to a sign error, but not incorrect in the way we were thinking.

[xellossaxon]

this is the strangest way to write down that so-called "polynomial division" or "partial division". To be honest, it's confusing and not very orderly. :-) Sorry. :-)

[turbostar101]

Actually, he did make only one error, and that was when he was consolidating the example at the very end of the example by taking the divisor (2x+1) multiplied by the quotient (the long 8x^3 term and adding the remainder, he forgot that the weird fraction (-51/4) at the end was negative and added plus 51/4. Otherwise, well done.

[blackmagic4kids]

YaY! haha, and next example the less popular extended version with roots. Example 1? x^(1/7)-2 into x^2+3x^2+4? for those awful limit problems

[PhluXx1]

Nice video but you over complicated the method of solving it some what.

[Sconz32]

I'm going to watch his video every day for a month until I understand what the fuck.

[23davidbeckham07]

sal u kind of made this problem a bit confusing.. it is really simple!

[idster7]

@23davidbeckham07 how is it simpler?

[23davidbeckham07]

there's a strategy that u follow in long division and it is peace of cake.. no need for all of this.

[idster7]

@23davidbeckham07 then what is the strategy?

[23davidbeckham07]

i cant explain it here.. wish i could!!

[reuntes]

Look up synthetic division. It only works in certain situations, though.

[starcraftblizz]

whhere do you get the program your using to write?

[amozoness6]

It's a little-known program called Microsoft Paint, I believe.

[rcbif101]

thanks! great re-fresher. I never do my college algebra hw after class(too tired) and end up doing it the next day. This is a great re-fresher!

[Winsunn307]

You are the master, Sal.

[TealcLOL]

31? Shouldn't it be 21?

[turbostar101]

10x minus negative 11x/2 is the same as 20x/2 minus negative 11x/2 which equals (20x+11x)/2 or 31x/2, since when you subtract a negative, you're adding the positive. Don't make the mistake of adding 10x/1 minus negative 11x/2 because you need the same denominator (which is 2) in your fraction.

[katkitkatkat]

your videos are all so helpful. thanks for taking the time to help out those of us who are less gifted at math!

[blahblah1837]

thanks for the help

suggestion- multiple examples

[cncpoise]

it helped me....thanks ^^

[digitalmaster147]

i'm not gay but i love you!!!!!!! thanks for helping me pass my precal finals. Peace bro and keep doing what u do

[MiggyJiggy]

Thanks, a real help

[SixThousandMono]

Could you talk about synthetic division and how to do it?