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December 21st, 2007, 05:16 PM   #11
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Originally Posted by johnny
What does this mean? What is multiplicity?
(x - 1)(x - 1)(x + 1) has three roots: 1, 1, and -1. Counting this as 3 is said to be counting "with multiplicity", as opposed to counting the 2 *unique* roots.
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December 21st, 2007, 09:51 PM   #12
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When referring to a polynomial, one should refer to "zeros" instead of "roots"; "roots" refers to the solutions of an equation, but "zeros" (of a polynomial P) refers to the roots of the specific equation P = 0.
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