1. Home
  2. Algebra
  3. Rational Equations and Expressions

Partial fraction decomposition - Rational Equations and Expressions

Partial fraction decomposition

Lessons

Notes:

\bullet Partial fraction decomposition expresses a rational function f(x)g(x)\frac{f(x)}{g(x)}, where f(x)f(x) and g(x)g(x) are polynomials in xx, as a sum of simpler fractions.

\bullet Partial fraction decomposition only applies to proper fractions in which the degree of the numerator is less than that of the denominator.

    • a)
      What is partial fraction decomposition?
    • b)
      When can we perform partial fraction decomposition?
  • 2.
    Case 1: Denominator is a product of linear factors with no repeats

    Find the partial fractions of:

  • 3.
    Case 2: Denominator is a product of linear factors with repeats

    Find the partial fractions of :

  • 6.
    First perform long division, then partial fraction decomposition

    Find the partial fractions of:

Teacher pug

Partial fraction decomposition

Don't just watch, practice makes perfect.

We have over 1840 practice questions in Algebra for you to master.