Consider C[a, a +2], the vector space of continuous functions f:R + R on [a, a + 2] for a given a ER, equipped with the o-norm defined by |g|| := max 1g(x)| c[a,a+2] for g e Ca, a + 2]. Find the polynomial $*+1(x) E PA+1 such that ||0*+1|100 min || Pn+1|| 00 Pn+1EP1 n+1 = min On+1EP1 n+1 max Pn+1(x)]. ce[a,a+2] Consider C[a, a +2], the vector space of continuous functions f:R + R on [a, a + 2] for a given a ER, equipped with the o-norm defined by |g|| := max 1g(x)| c[a,a+2] for g e Ca, a + 2]. Find the polynomial $*+1(x) E PA+1 such that ||0*+1|100 min || Pn+1|| 00 Pn+1EP1 n+1 = min On+1EP1 n+1 max Pn+1(x)]. ce[a,a+2]