The polynomial is given in terms of

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The polynomial S(x)=5−3(2x−4)+(2x−4)2−16(2x−4)3S(x)=5-3(2x-4)+(2x-4)^2-\frac{1}{6}(2x-4)^3 is given in terms of (2x−4)(2x-4). Treating SS as a Taylor polynomial of a function about x=ax=a, determine the center aa and the degree nn.

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