4. Partial Fractions

Repeated Factors — Quiz

Test your understanding of repeated factors with 5 practice questions.

Practice Questions

Question 1

Which denominator contains a repeated factor of $x-2$?

Question 2

For a repeated linear factor $\left(x-1\right)^3$ in a partial fraction decomposition, which terms must appear?

Question 3

Find the partial fraction decomposition of $\frac{3x+5}{\left(x+1\right)^2}$.

Question 4

Find the partial fraction decomposition of $\frac{2x+1}{x\left(x-1\right)^2}$.

Question 5

How many separate terms are needed for the repeated factor $\left(x+4\right)^4$ in a partial fraction decomposition?