Solve the Problem $1 + 8 x + 28 x ^ { 2 }$

question 245

Multiple Choice

Solve the problem.
-The polynomial $1 + 8 x + 28 x ^ { 2 }$ is used to approximate $f ( x ) = ( 1 + x ) ^ { 8 }$ on the interval $- 0.01 \leq x \leq 0.01$ . Use the Remainder Estimation Theorem to estimate the maximum absolute error.

• A) \(\approx 3.642 \times 10 ^ { - 5 }\)
• B) \(\approx 5.886 \times 10 ^ { - 5 }\)
• C) \(\approx 5.886 \times 10 ^ { - 4 }\)

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