In this video I go over a very interesting algebra proof and which is to show that (x – a) is a factor, i.e. divides evenly, into the function x^k – a^k. The derivation of this can be shown by using polynomial long division until we start noticing a pattern. Once the pattern of decreasing powers of x and increasing powers of a is revealed, we can then use it to show that eventually the remainder will be 0. Thus proving the formulation! This is a very interesting method of derivation and I will be using this proof in my later videos on algebra so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh4Il87_E56J68Cgb4A
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/polynomial-long-division-x-a-is-a-factor-of-x-k-a-k-proof
Related Videos:
Polynomials - A Simple Explanation:
Polynomial Long Division - In depth Look on why it works!:
Polynomial Long Division - Examples:
Factoring Quadratic Polynomials by Guessing:
Direct Substitution for Polynomials - Simple Proof:
Polynomial Long Division: Multiple Variables:
Euclidean Division of Polynomials: Theorem and Proof:
Polynomial Remainder Theorem: Proof + Factor Theorem: .
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
Google Plus: https://mes.fm/gplus
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: [email protected]
Try our Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
▶️ DTube
▶️ IPFS
I don't always proof that x - a is a factor of x^k - a^k but when I do I usually use Polynomial Long Division ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/polynomial-long-division-x-a-is-a-factor-of-x-k-a-k-proof
MES.. helping people by making life easy
Not all heroes wear capes.
But man that's intense.. :O
OMG! Thanks Joel Sabastian and Welcome to Steemit!!
actually I do not really like numbers and algebra, but your explanation is easier to understand. Thank you for the information @mes
Good information 👍👍👍 @mes
Thanks for the post. Very good work @mes. Greetings :)
Postings like this are a public attraction in the steemit community
Congratulations @mes! You have completed some achievement on Steemit and have been rewarded with new badge(s) :
Click on any badge to view your own Board of Honor on SteemitBoard.
For more information about SteemitBoard, click here
If you no longer want to receive notifications, reply to this comment with the word
STOP