A Simple and Beautiful proof of The Fundamental Theorem of Algebra

A simple and beautiful proof of the fundamental theorem of algebra using circles centered at the origin in the input space.
I'd love to hear any constructive criticism you may have on the video.

[hannahnelson]

Impressive. You proved the fundamental theorem of algebra with nothing but the Intermediate value theorem.

[felipegiglio]

this is not a proof at all. It's, of course, an intuition, but shall not be considered a proof. When you assume the graph must touch 0 because of continuity, you are assuming that the complex number 0 is, somehow, "inside" this curve. What does it mean to be inside a curve? How do you prove that 0 is actually inside the curve? How do you use this definition to conclude that, if 0 was inside the curve and now it's outside, then it must have touched the curve at some time?

[PranitSuman]

I like maths so much my other subjects grades are degrading

[SurprisedDivingBoard-vurz]

Just for a vector they give so many definition like complex irrational etc

[gush]

great video, nice explanation, very cute voice! 10/10

[alexandertownsend]

Criticism 1: It would helpful if there was audio such as talking or music. Having only visual makes it hard to follow.

Criticism 2: Slow down. The video is short enough where you can afford to slow it down.

Criticism 3: Use transitions so that the video feels less disjointed.

[naakatube]

SORRY ... I CAN'T UNDERSTAND WHAT YOU SAY, THE PRONOUNCE IS TERRIBLE 😂😂😂