Polynomials, Higher Order
The function y = pd(x), a polynomial of degree d,
is graphed for degrees 3 up to 8.
Compare the degree to the number of roots and to the total number of maxima and minima.
( The graphs show the Chebyshev Polynomials of the Second Kind.
They can be written in the interesting form
| Un(x) = |
sin( (n+1) cos-1(x))
sin(cos-1(x))
|
and have been studied extensively. )