Using the Fundamental Theorem of Algebra, show that n Tn+1(2) = C I (x xj) where...

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Using the Fundamental Theorem of Algebra, show that n Tn+1(2) = C I (x xj) where c is some constant. For the affiliated interpolating polynomial, say pn (x) where n j=0 Pn(x) = f Lj (x). j=0 Show using l'Hopital's rule and the fact that L(x;) = 1 that Lj(x) = = - Tn+1(2) (x x ;) Tn +1(xj) Using the Fundamental Theorem of Algebra, show that n Tn+1(2) = C I (x xj) where c is some constant. For the affiliated interpolating polynomial, say pn (x) where n j=0 Pn(x) = f Lj (x). j=0 Show using l'Hopital's rule and the fact that L(x;) = 1 that Lj(x) = = - Tn+1(2) (x x ;) Tn +1(xj)