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
Polynomial facts
