https://youtu.be/wZVI5Gsc4WU

In this video I go over a quick tutorial on how to decompose a rational function with both non-linear and repeating factors in the denominator. The rational function is pretty complicated so I just set up the partial fractions with the appropriate coefficients but did not solve for the coefficients as it would still be very tedious to solve them all. Basically in cases such as in this video, we can combine the techniques for decomposing non-linear functions as well as repeating factors which I covered in my earlier videos.

---

Watch Video On:

- DTube: [https://d.tube/#!/v/mes/s090o0oov4s](https://d.tube/#!/v/mes/s090o0oov4s)
- BitChute: [https://www.bitchute.com/video/KRZProIkMJtz/](https://www.bitchute.com/video/KRZProIkMJtz/) 
- YouTube: [https://youtu.be/wZVI5Gsc4WU](https://youtu.be/wZVI5Gsc4WU)

Download Video Notes: http://1drv.ms/1ExaoEC

---

# View Video Notes Below!

---

>Download These Notes: Link is in Video Description.
>View These Notes as an Article: https://steemit.com/@mes
>Subscribe via Email: http://mes.fm/subscribe
>Donate! :) https://mes.fm/donate 
>
>Reuse of My Videos:
>- Feel free to make use of / re-upload / monetize my videos as long as you provide a link to the original video.
>
>Fight Back Against Censorship:
>- Bookmark sites/channels/accounts and check periodically
>- Remember to always archive website pages in case they get deleted/changed.
>
>Join my private Discord Chat Room: https://mes.fm/chatroom
>
>Check out my Reddit and Voat Math Forums:
>- Reddit: https://reddit.com/r/AMAZINGMathStuff
>- Voat: https://voat.co/v/AMAZINGMathStuff
>
>Buy "Where Did The Towers Go?" by Dr. Judy Wood: https://mes.fm/judywoodbook
>Follow My #FreeEnergy Video Series: https://mes.fm/freeenergy-playlist
>Watch my #AntiGravity Video Series: https://steemit.com/antigravity/@mes/series
>- See Part 6 for my Self Appointed PhD and #MESDuality Breakthrough Concept!
>
>Follow My #MESExperiments Video Series: https://steemit.com/mesexperiments/@mes/list
>
>---
>
>NOTE #1: If you don't have time to watch this whole video:
>
>- Skip to the end for Summary and Conclusions (If Available)
>- Play this video at a faster speed.
>-- TOP SECRET LIFE HACK: Your brain gets used to faster speed. (#Try2xSpeed)
>-- Try 4X+ Speed by Browser Extensions or Modifying Source Code.
>-- **Browser Extension Recommendation: https://mes.fm/videospeed-extension**
>-- See my tutorial to learn more: https://steemit.com/video/@mes/play-videos-at-faster-or-slower-speeds-on-any-website
>- Download and Read Notes.
>- Read notes on Steemit #GetOnSteem
>- Watch the video in parts.
>
>NOTE #2: If video volume is too low at any part of the video:
>
>- Download this Browser Extension Recommendation: https://mes.fm/volume-extension

---

# Partial Fraction Decomposition: Repeating and Non-linear factors

![Partial Fractions Non Linear Repeating.jpeg](https://cdn.steemitimages.com/DQmbckF6eHhok2bWKpURUX5c9TRVRFJuEpCLVGEbj9EJhEu/Partial%20Fractions%20Non%20Linear%20Repeating.jpeg)

In my earlier videos I covered general techniques for solving linear, non-linear and repeating factors such as:

![](https://cdn.steemitimages.com/DQmcgvjMa15CJJ7nmChKoEvLJwHF8837ydTfZ397PxRYR8u/image.png)

If the denominator in the rational function has any combination of linear, non-linear, and repeating factors than we can combine the techniques used to decompose them.

**Example:** Decompose but do not solve for the coefficients of the following rational function:

![](https://cdn.steemitimages.com/DQmYozH3FX8TZjvrU3xrMYPqoi1W9D2FEqwUyNEQWZZtRti/image.png)