1. Number and Algebra

Partial Fractions — Quiz

Test your understanding of partial fractions with 5 practice questions.

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Practice Questions

Question 1

What is the main purpose of writing a rational expression as a sum of partial fractions?

Question 2

Which of the following is a proper fraction?

Question 3

Which form is correct for the partial fraction decomposition of $\frac{7}{(x-2)(x+3)}$?

Question 4

The expression $\frac{5x+1}{x^2-1}$ can be decomposed into partial fractions as $\frac{A}{x-1}+\frac{B}{x+1}$. Which values of $A$ and $B$ are correct?

Question 5

Which decomposition is correct for $\frac{4x+6}{(x-1)^2}$?