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Binomial Theorem

Binomial Theorem

IP 4

  1. Expand \((2-x)^4\) completely.

  2. Use only the terms up to and including \(x^2\) to estimate \(1.98^4\). State the value of \(x\).

  3. Calculate the omitted contribution. Does the approximation give the correct answer to three decimal places?

Solution:

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Answer:(a) \(16-32x+24x^2-8x^3+x^4\); (b) \(15.3696\), \(x=0.02\); (c) \(-0.00006384\), Yes: \(15.370\).

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