MATH LIBRARY

**Extreme Values of a Polynomial**

The graph of a polynomial of degree*n* has at most *n* – 1 extreme values (minima and/or maxima). The total number of extreme values could be *n* – 1 or *n* – 3 or *n* – 5 etc.

For example, a degree 9 polynomial could have 8, 6, 4, 2, or 0 extreme values. A degree 2 (quadratic) polynomial must have 1 extreme value.

**See also**

ANOTHER MATH LIBRARY

extreme values of a polynomialcomplex fractionmodified boxplotimproper rational expressionovalrho (ρ ρ)triple rootbracketsbinomialeulers formulaside of an anglepiecewise functionfixedslope of a linenewtons methodpinching theoremordinary differential equationprime factorizationgeometric seriesrestricted domain

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