Back to 11.4 Partial Fractions

Decomposing a Rational Function with a Repeated Irreducible Quadratic Factor in the Denominator

Avg difficulty 2.5

Decompose the given expression that has a repeated irreducible factor in the denominator.

\frac{x^{4} + x^{3} + x^{2} - x + 1}{x \left(x^{2} + 1\right)^{2}}

OpenStax Algebra and Trigonometry 2e, 11.4 Partial Fractions, exercise 11

AI Tutor

Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.