Let a polynomial p Pn be given by a finite Chebyshev series and let x [1,1] be given. Show that p(x) can be evaluated by the following process. Set un+1 = 0 and un = an and uk =2xuk+1 uk+2 +ak, k=n1,n2,...,0. Then p(x)= 1(a0 +u0 u2).