❖ Partial Fraction Decomposition - Repeated Linear Factor ❖

Partial Fraction Decomposition - Repeated Linear Factor.
In this video, I do a partial fraction decomposition where the denominator factors are a product of LINEAR and QUADRATIC factors. However, note that the quadratic factor can be factored as a repeated linear factor.
In this case we find the constants A, B, and C that would go with our partial fraction decomposition.
Note that if you are watching this for a Calculus course, I do not perform any actual integration.

[RGBY-tvhg]

Almost 10 years old but this is still incredibly helpful, thanks

[patrickjmt]

Hi all! Wanna help a Youtube education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)

[amenff]

Patrick, u definitely did better job than any one of my lecturers. U saved my math subject. Praise for your generosity in teaching.

[perushank]

Helped me get through Calc 2 four years ago, and now helped me figure out how to find the derivative of the sigmoid function for a graduate course. I hope future generations find patrickJMT's awesome videos!

[raulh]

This is when matrices and row reducing saves a lot of time! Excellent video, thank you!

[sardina]

Thank you so much PATRICKJMT !!!! you are like the go to youtuber known in my campus, highly recommended by my peers mathematics&engineering majors. It would SO MUCH FUN, if you include trig partial fraction exercises !!!

[juanmse]

I was so confused my teacher was leaving out so many steps. Thank you so much.

[yenfong]

Best vid on explaining partial fraction! HIghly Recommended.

[ducksoop.x]

I finally get it. Thank you, you are a godsend. Hope I can pass the second exam!

[jesschappellable]

Thanks for your videos! I use your channel the most when doing calculus homework.

[patrickjmt]

@crystalakajuicy very happy that i could help : )

[yoporock]

Thank you so much!, you have no idea how helpful that was; you make it so easy to understand :')

[ID_Station]

Damn! Thank you for this. Talking Calc 2 and we are at the point where no one does the steps anymore. We go from problem to answer lol

[TheEazyDuzIt]

Why is B's denominator (x+3) and C's denominator (x+3) squared? Shouldn't C's denominator be (x+3) as well?

[olubukolaogunsola]

I wonder what the guys that don't like this video want. Excellent and free resource . Thank a lot

[shmiddy]

@TheEazyDuzIt95 I agree. I think that C's denominator has to be (x+3)

[lolochan]

Thank you very much :3 I always look for your videos when I have an exam and want to understand well 
Good work keep going ^^

[evanmargolis]

I got A=-3/2, B=-2, and C=1 . I used your guess and check method to make x = -1, and x= -3 in order to cancel out some of the problem and find c and a easily.

[engineerbrian]

Thanks alot.... May the almighty God bless you 🙏🙏🙏🙏

[terrellwebb]

If you were to teat the first equation (x+1)+(x+3)+(x+3) as a case 1 (linear) would i get the same answer, or is it totally wrong to do that?