https://padlet.com/eallman1/y7j2j9ij4gka The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. The theorem is also stated as follows: every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots. This theorem was first proven by Gauss. en-us 2017-01-05 02:45:17 UTC 2020-06-04 14:28:35 UTC hello@padlet.com https://padlet-assets.storage.googleapis.com/portrait/crane_yellow.png eallman1 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145406694 "Fundamental" certainly makes it sound important!]]> 2017-01-05 02:45:40 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145406694 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674458 it looks confusing and complicated]]> 2017-01-06 13:35:35 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674458 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674466 many words, very confusing]]> 2017-01-06 13:35:37 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674466 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674470 confusing ]]> 2017-01-06 13:35:37 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674470 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674476 it is very complex and hard to understand]]> 2017-01-06 13:35:40 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674476 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674481 The theorem only applies to  non-constant polynomials.]]> 2017-01-06 13:35:40 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674481 19devoet https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674500 Complex coefficients? As in i? ]]> 2017-01-06 13:35:47 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674500 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674525 sounds very complicated with many specific parts]]> 2017-01-06 13:35:53 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674525 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674539 Really wordy and specific ]]> 2017-01-06 13:35:56 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674539 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674560 Carl Friedrich Gauss seems like a pretty smart guy]]> 2017-01-06 13:36:02 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674560 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674597 Counted with multiplicity?]]> 2017-01-06 13:36:12 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674597 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674689 The theorem is extremely specific; it only includes non-zero, single-variable, degree n polynomials with complex coeffiecients (counted with multiplicity). ]]> 2017-01-06 13:36:47 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674689 eallman1 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674851 That's a lot of COMPLEXity.]]> 2017-01-06 13:37:26 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674851 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674874 What is a complex root?]]> 2017-01-06 13:37:31 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674874 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674947 What does complex mean?]]> 2017-01-06 13:37:43 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674947 19devoet https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674950 For something "Fundamental" I feel like it should be put in simpler terms so everyone can understand it.]]> 2017-01-06 13:37:43 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674950 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674951 Has to be Non-constant]]> 2017-01-06 13:37:44 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674951 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674965 what is a complex root]]> 2017-01-06 13:37:48 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674965 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674989 what are complex roots and coefficients?]]> 2017-01-06 13:37:52 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145674989 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675052 What is a complex root?]]> 2017-01-06 13:38:04 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675052 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675056 what is a complex root and a complex coefficient?]]> 2017-01-06 13:38:05 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675056 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675179 Gauss is very smart.]]> 2017-01-06 13:38:28 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675179 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675206 hard to understand]]> 2017-01-06 13:38:34 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675206 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675223 What is counted with multiplicity? Degree n?]]> 2017-01-06 13:38:37 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675223 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675266 I am very confused]]> 2017-01-06 13:38:45 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145675266 eallman1 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145694385 yes... sometimes he is referred to as "the greatest mathematician since antiquity".
https://en.wikipedia.org/wiki/Carl_Friedrich_Gauss]]> 2017-01-06 14:44:23 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145694385 eallman1 https://padlet.com/eallman1/y7j2j9ij4gka/wish/145695116 https://padlet.com/eallman1/otbt285qzbv7]]> 2017-01-06 14:47:02 UTC https://padlet.com/eallman1/y7j2j9ij4gka/wish/145695116