Fundamental theorem of algebra
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Apibrėžimas
amžius 16 lygis-ang. 3
If p(z) is a polynomial function,
| p(z)=a0+a1z+a2z2+...+aN−1zN−1+zN |
|
with complex coefficients a
0, a
1... then there is some complex number w for which p(w)=0.
Apibrėžimas
amžius 19 lygis-ang. 4
Every non-constant polynomial has at least one root in
C; more generally, for a monic polynomial p of order n we may write
where z
i ∈
C are the roots of p .