4. Partial Fractions

Linear And Irreducible Quadratic Factors — Quiz

Test your understanding of linear and irreducible quadratic factors with 5 practice questions.

Practice Questions

Question 1

For the rational function $\frac{5x+1}{(x-2)(x^2+1)}$, which partial fraction form is correct over the real numbers?

Question 2

Why is the numerator over an irreducible quadratic factor such as $x^2+4$ written as $Bx+C$ rather than just a constant?

Question 3

Decompose $\frac{7}{x(x+3)}$ into partial fractions.

Question 4

Which of the following is an irreducible quadratic factor over the real numbers?

Question 5

What is the correct partial fraction setup for $\frac{2x^2+3x+1}{(x+1)(x^2+4)}$ over the real numbers?