Polynomial Roots

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The graph of a polynomial with roots meets the axis at those roots. At a simple root, the curve crosses the axis at an angle. At a multiple root, the axis is tangent to the curve. If the multiplicity is odd (and greater than one), the curve has a flat inflection point at the root. If the multiplicity is even, the curve has a minimum or a maximum at the root, depending on the sign of the leading term and the position of the other roots.

Contributed by: Ed Pegg Jr (March 2011)
Open content licensed under CC BY-NC-SA


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