# Numerical Analysis/Newton form exercise

1. Using the Newton form, find the interpolating polynomial passing through the points ${\displaystyle (x_{0},y_{0})=(9,9)}$, ${\displaystyle (x_{1},y_{1})=(5,7)}$, ${\displaystyle (x_{2},y_{2})=(3,7)}$, and ${\displaystyle (x_{3},y_{3})=(7,1)}$.
2. Find the interpolating polynomial passing through the four points given in the exercise above as well as through the point ${\displaystyle (x_{4},y_{4})=(4,2)}$