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Multiple Root


A multiple root is a root with multiplicity n>=2, also called a multiple point or repeated root. For example, in the equation (x-1)^2=0, 1 is multiple (double) root.

If a polynomial has a multiple root, its derivative also shares that root.


See also

Multiplicity, Root, Simple Root

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References

Krantz, S. G. "Zero of Order n." §5.1.3 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 70, 1999.

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Multiple Root

Cite this as:

Weisstein, Eric W. "Multiple Root." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MultipleRoot.html

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