Difference between revisions of "Fundamental theorem of algebra"
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| − | The '''Fundamental theorem of algebra''' states that every non-[[zero]] single-[[variable]] [[polynomial]], (possibly with [[complex number|complex]] [[coefficient]]s), has exactly as many complex roots or solutions, as its degree (the highest power the variable is raised to), if repeated roots are counted when they occur. | + | The '''Fundamental theorem of algebra''' states that every non-[[zero]] single-[[variable]] [[polynomial]], (possibly with [[complex number|complex]] [[coefficient]]s), has exactly as many complex roots, or solutions, as its degree (the highest power the variable is raised to), if repeated roots are counted when they occur. |
==See Also== | ==See Also== | ||
Revision as of 22:11, April 24, 2007
The Fundamental theorem of algebra states that every non-zero single-variable polynomial, (possibly with complex coefficients), has exactly as many complex roots, or solutions, as its degree (the highest power the variable is raised to), if repeated roots are counted when they occur.