Question

In Problems 13-46, write the partial fraction decomposition of each rational expression. $\frac{x^2+1}{x^3+x^2-5 x+3}$

   In Problems 13-46, write the partial fraction decomposition of each rational expression.
 $\frac{x^2+1}{x^3+x^2-5 x+3}$

Precalculus: pearson new international edition

Precalculus: pearson new international edition

Michael Sullivan 9th Edition

Chapter 11, Problem 40

Instant Answer

Step 1

The denominator is \(x^3 + x^2 - 5x + 3\). We look for roots of this cubic polynomial by trial and error or using the Rational Root Theorem. Testing possible rational roots, we find that \(x = 1\) is a root because substituting \(x = 1\) into the polynomial Show more…

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In Problems 13-46, write the partial fraction decomposition of each rational expression. $\frac{x^2+1}{x^3+x^2-5 x+3}$

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