Question

The legendre polynomial Pn(x) has n real zeros
between___
and___​

Answer 1

-1 and 1

As an easy way, just look into the graphical representation of Legendre polynomial. For all n>0, the roots lie between (-1,1)

Answer 2

Answer:The legendre polynomial Pn(x) has n real zeros

between(-1,1) and n>0.

Step-by-step explanation:

The inequality m<n leads to a contradiction and Pn has n distinct real roots, all of which lie in the open interval (−1,1).

The legendre polynomial Pn(x) has n real zeros

between(-1,1) and n>0.