AlgebraLab

Fundamental Theorem of Algebra

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Pronunciation: fun•da•MEN•tal THE•o•em OF AL•ge•bra

Definition

If f(x) is a polynomial of degree "n", n > 0, then f(x) has at least one root in the complex number system. 

Example

From the Fundamental Theorem of Algebra it follows that:

If f(x) is a polynomial of degree "n", n > 0, then f(x) has at most "n" roots.
 
one root
two roots
three roots