P(x)=00+a1(x-20) P2(x)=a0+a1(x-x0)+a2(x-x0)( f3(x)=a0+a1(x-x0)+a2(x-x0)(x-x1) +a2(x-x0)(x-x1)(x-x2 Px(x)=0+a1(x-xo)+a2(x-x0)(x-x1) +a2(x-0)(x-x1)(x-x2) +a4(x-0)(x-x1)(x-x2)+… +aN(x-x0)…(x-xN-1) Here the polynomial PN(a)is obtained from PN-1(a) using the recursive rela. tionship (x)+aN(x-x0)(x-2)…(x-N-1) The polynomial (1.57)is said to be a Newton polynomial with N centers