# Legendre polynomials

Given the Legendre polynomials P0(x) = 1, P1(x) = x and P2(x) = (3x2

1)/2, expand the polynomial 6(x squared) in terms of P l (x).

does anyone know what this question is asking me? what is P l (x)?

## Answers and Replies

vela
Staff Emeritus
Homework Helper
\begin{align*} P_0(x) &= 1 \\ P_1(x) &= x \\ P_2(x) &= (3x^2-1)/2 \end{align*}
The problem is asking you to expand the polynomial $6x^2$ in terms of these polynomials. In other words, you want to find constants c0, c1, and c2 such that