Alright, future engineers!

**Factoring** breaks a polynomial into simpler expressions (factors) that multiply to it. Ex: `x^2+5x+6 = (x+2)(x+3)`. Pro-Tip: Always look for a Greatest Common Factor (GCF) first!

#Algebra #Polynomials #STEM #StudyNotes

I've been making plots of the sets of roots of some polynomials. They look more interesting than I'd expected! And I've been making sounds from them, too. I have a bunch on this page of my website (I'll probably be adding more). Click on the images to embiggen them, and if you're in a hurry, the last sound on the page is the most catchy. https://www.madandmoonly.com/doctormatt/sound/littlewoodPolynomials/

#mathematics #math #maths #polynomials #sonification #illustration #sound

A now a message from the Society for the Protection of Polynomials.

Hi! We at the Society for the Protection of Polynomials remind you that factoring a polynomial is not a harmless operation. Whenever you factor a polynomial, you are causing untold damage to it.

Don't factor polynomials.

Keep them whole.

This was a message from the Society for the Protection of Polynomials.

#polynomials #SocietyForTheProtectionOfPolynomials

Notes on Lagrange Interpolating Polynomials

https://eli.thegreenplace.net/2026/notes-on-lagrange-interpolating-polynomials/

#HackerNews #LagrangeInterpolate #Polynomials #Math #Education #DataScience #Algorithms

#Noisevember! I revisited the Littlewood polynomial sound from day 2 of Noisevember. I thought to investigate a different sort of polynomial. Here, instead of polynomials with coefficients all ±1, the polynomials have coefficient ±1/(n+1) on the x^n term. As before, all roots of all such 15th degree polynomials are considered. (I really should create a gallery of these root plots so we can easily compare them.) Along the way, I realized I was making an error with the way I created "random" stereo that introduced a bunch of unneeded noise. So that's something! I'll have to go back and replace the Littlewood polynomial sound. https://soundcloud.com/matthew-m-conroy/out-keep1

Here's a plot of the roots (essentially the spectrogram of the sound).

#noise #sound #audio #math #maths #mathematics #polynomials #roots

Evariste #Galois - #GroupTheory #QuantaMagazine #Maths #Mathematics

#GaloisGroups and the #Symmetries of #Polynomials
By Allison Whitten

https://t.co/sNKYd7wOdM