Let f be a polynomial function with nonzero coefficients such that f (x) = aj + a1x + a2x2 + a3x3 + 24x4. T3 (x) is the third-degree Taylor polynomial for f about x = c such that T3 (x) = bo +bı (x – c) + b2 (x – c) 2 + b3 (2 — c) Based on use of the Lagrange error bound, f(x) – T}(x) must equal which of the following?
A) 0
B) (x - c) ⁴
C) 24(x - c) ⁴
D) 4! × 24(x - c) ⁴
