Question
write the partial fraction decomposition of each rational expression.$$\frac{6 x^{2}-x+1}{x^{3}+x^{2}+x+1}$$
Step 1
The denominator is $x^{3}+x^{2}+x+1$. This can be factorized as $(x+1)(x^{2}+1)$. So, the given expression becomes $\frac{6 x^{2}-x+1}{(x+1)(x^{2}+1)}$. Show more…
Show all steps
Your feedback will help us improve your experience
Ankit Gupta and 55 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Write the partial fraction decomposition of each rational expression. $$\frac{-2 x+6}{x^{2}-2 x+1}$$
Systems of Equations and Inequalities
Partial Fractions
write the partial fraction decomposition of each rational expression. $$\frac{x^{2}-6 x+3}{(x-2)^{3}}$$
Partial Fractions s
Find each partial fraction decomposition. $$\frac{6 x^{2}-x+1}{x^{3}+x^{2}+x+1}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD