This problem concerns finding the best approximation of a polynomial of degree n +1 with a polynomial of degree n in the co-norm on a prescribed interval [-c, c] for a given real number c > Ö. Formally, let n+1 p() azri for given do, ål, ..., An+1 € R, An+10. j=0 Find pe Pn satisfying p - Pillo < |P – Pn||0 Vp € Pn, where ||P-Pn||0o := maxel-c,c] P(x) – Pn(x) for a given real number c > 0.