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recognize the multiplicity how can we recognize that a root is of multiplicity k order ?

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To identify the multiplicity of a root, we have to find all the roots of the polynomial and also see if there are any roots which are equal. If a polynomial of order n has less than n roots, one or more of the roots have a multiplicity greater than 1. In case the number of roots determined is equal to the order of the polynomial all the roots have multiplicity 1.

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