Partial Fraction Decomposition

[big_smoket]

The most useful 6 minutes video that i have watched today, thanks sir

[luisclementeortegasegovia]

Great to remember this algorithm! Thank you professor 👍

[vwrjeep]

I’m here to refresh some very old math classes and figured out I’m in completely new territory lol. Still enjoyable to try to follow along. 🍻

[BruceLee-ioby]

Fantastic, professor. A hug and thanks from Italy!

[neilmorrone]

Thank you mrh, again!
Oh, yes brings me back to 2nd Half of The Calculus l. Lessons requiring Proper and impeccable use of Algebraic operations is first and foremost in Decomposition of polynomial fractions. Followed some months later with the treatment of The Conics, Geometrically and Algebraically, via the General Form of the Equations of Geometric plain figures. Math IS fun!

[sudipnayak]

Excellent algebraic problem. Thanks sir.

[rcnayak_]

We can calculate the values of A, B and C from the above lines i.e., 5x + 7 = A (x+1)(x+2) + B (x-1)(x+2) + C (x-1)(x+1) in an easier way. If we put x = 1, we get 12 = A . 2. 3, that is, A = 2. Same way if put x = -2, we get -3 = C . (-3). (-1), that is C = -1 and putting x = -1, we get 2 = B. (-2). (1), that is B = -1.

[travisjacobson]

This is one thing in calculus that I never mastered. 😂

[AK]

Just learned this today! What a coincidence

[NTWL]

It was so long ago that I took Integral calculus, I don't remember if we covered partial fractions or not. I am wondering if decomposition works with rational expressions where the denominator is not factorable? Very nice presentation.

[kgs]

It should be 5x + 7, instead of 5x - 7 @2:54

And,
Mr. H, even after seeing and pointing to (-7) equating it as 7 @3:37

Regards 🙏🙏

[srr]

Mr. H should have shown first how he got the three different denominators for the right hand side of the equation. He probably factored the original polynomial using Synthetic Division? Perhaps next time make it a two-part solution showing ALL the steps. So, 3 out of 5 stars...

[jimyoung-gylx]

Mr H, can you please remind me how you decide what the denominators are in the partial fractions?

[ASHHH_Art]

JEE aspirant laughing in a corner 😁 but I really appreciate the way Sir solved it.

[GarethDaviesUK]

Why does A+B+C=0? Surely it's the x^2 that is equal to 0?

[EpicNotRoblox_Hi]

Didn't watch the whole video but i know it will be useful for me later on

[foxhound]

Can you do a video on partial fractions expansion when the denominator is not repeated linear?

[davantesevier]

Man if only we actually had time to factor like this people might not struggle with this so bad

[josephmak]

this will be useful for one integrating...in calculus 2. Probably the only use... and in real life. probably 0 use ever

[aram]

...and all this came already shortened - because you came with the polynomial already factored out. Otherwise one needs to do synthetic division first.