tcp4
If Pn(x) is multiplied by reciprocal of coefficient of x^n, then resulting polynomial r*Pn(x) has leading coefficient 1.
Show the r*Pn(x) deviates least from zero on -1<=x<=1 in the sense of least squares among all polynomials of degree n with leading coefficient 1.
Show the r*Pn(x) deviates least from zero on -1<=x<=1 in the sense of least squares among all polynomials of degree n with leading coefficient 1.