The Fundamental Theorem of Algebra

  • #1

Main Question or Discussion Point

Hi all,
I'm currently flicking through and old textbook and came accross the following.

"Every polynomial of the form
P(z)%20=%20a_{0}x^{n}%20+%20a_{1}x^{n-1}%20+%20a_{2}x^{n-2}%20+%20...%20+%20a_{n-1}x%20+%20a_{n}.gif
, where
gif.latex?a^{n}\neq0.gif
has n linear factors over C...". What does it mean by [URL]http://latex.codecogs.com/gif.latex?a^{n}\neq0?[/URL] Is this referring to some kind of complex index? This is all that is written and nothing precedes it. I just dont quite understand the
gif.latex?a^{n}\neq0.gif
.


Edit: Latex kind of fixed
 
Last edited by a moderator:

Answers and Replies

  • #2
tiny-tim
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Hi SprucerMoose! :smile:

(try using the X2 and X2 icons just above the Reply box :wink:)

it must be a misprint for "where a0 ≠ 0" …

in other words, where it's a genuine nth-degree polynomial :smile:
 
  • #3
Ah, I see. Thank you very much.


Testing...

a2 + a0 + a1

Edit: It works!
 
  • #4
tiny-tim
Science Advisor
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Testing...

a2 + a0 + a1

Edit: It works!
Now you really are sprucer! :biggrin:
 
  • #5
33,519
5,196
Ah, I see. Thank you very much.


Testing...

a2 + a0 + a1

Edit: It works!
Do you mean a2 + a0 + a1?
 
  • #7
tiny-tim
Science Advisor
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Top that! :smile:

SprucerMoose wins! :biggrin:
 

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