The legendre polynomial is a polynomial defined by the following formula:
Pn(x)= 1 d^n
-------- * --------(x^2-1)^n where n=0,1,2......
2^n * n! dx^n
this formula is called as 'Rodrigue's formula'
the legendre polynomial has 'n' different roots, all found between -1 and +1 !