Question

In Problems 13-46, write the partial fraction decomposition of each rational expression. $\frac{x^3+1}{\left(x^2+16\right)^2}$

   In Problems 13-46, write the partial fraction decomposition of each rational expression.
  $\frac{x^3+1}{\left(x^2+16\right)^2}$

Precalculus: pearson new international edition

Precalculus: pearson new international edition

Michael Sullivan 9th Edition

Chapter 11, Problem 36

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Step 1

The given rational expression is \(\frac{x^3+1}{(x^2+16)^2}\). The denominator is \((x^2+16)^2\), which is a repeated irreducible quadratic factor. The numerator \(x^3 + 1\) is a polynomial of degree 3. Show more…

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In Problems 13-46, write the partial fraction decomposition of each rational expression. $\frac{x^3+1}{\left(x^2+16\right)^2}$

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