TITLE: Why don't they teach Fundamental Theorem of Algebra in High School?
QUESTION [5 upvotes]: I am currently in AP Calculus BC and one more year to go, I have heard about Fundamental Theorem of Algebra several times, and with the resources that is out there today I tried to search and study myself.  (Also noticed there are some inconsistencies in the versions of explanation about this theorem).  But I still wonder why they don't teach this in High School in the USA?  Am I wrong?  Or do they teach this in other countries?

REPLY [2 votes]: You may need complex analysis or topology to prove it,so this is for advanced undergraduate(junior, senior) , see http://books.google.com/books?id=g0KHD7EIl4cC&printsec=frontcover&dq=fundamental+theorem+of+algebra&hl=en&sa=X&ei=ASNpT-O1B4eMgwfJn4ydCQ&ved=0CDsQ6AEwAA#v=onepage&q=fundamental%20theorem%20of%20algebra&f=false