Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for the

QUESTION:

Use Theorem 3.9 or Algorithm 3.3 to construct an approximating polynomial for the following data, a. X fix) fix) b. x fix) fix) 8.3 17.56492 3.116256 0.8 0.22363362 2.1691753 8.6 18.50515 3.151762 1.0 0.65809197 2.0466965 c. X fix) fix) d. x fix) fix) -0.5 -0.0247500 0.7510000 0.1 -0.62049958 3.58502082 -0.25 0.3349375 2.1890000 0.2 -0.28398668 3.14033271 0 1.1010000 4.0020000 0.3 0.00660095 2.66668043 0.4 0.24842440 2.16529366