Homework Statement
Show that the functions po(t)=1, p1(t)=t, p2(t)=1/2(3t2-1), and p3(t)=(3/2)*[(5/3)t3-t) also form a basis for the vector space P3(R) ... "R" meaning all real numbers
Homework Equations
I know these polynomials are the first four Legendre polynomials
The Attempt...