Partial Fractions
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Lesson Summary:
In this lesson, you will learn how to break down a fraction into partial fractions using a lengthy and involved method. The first step is to factor the denominator, and then isolate the x's to solve a system of two equations with two variables using elimination. Once you have those values, you can plug them back in to get the partial fractions. While this process is time-consuming, it is an important skill for calculus.
Lesson Description:
Learn how to decompose a fraction into partial fractions.
Additional Resources:
- Partial Fraction Tutorial - A partial fraction tutorial with examples and explanations.
- Explanation of Partial Fractions - An explanation of how to break down a polynomial for partial fraction decomposition.
Questions answered by this video:
- What are partial fractions?
- How do you compose a single fraction into partial fractions?
- How do you decompose (-3x - 29)/(x^2 - 4x - 21) into partial fractions?
- How can you figure out the numerators A and B in a partial fraction deomposition?
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Staff Review
The rather complicated process of decomposing a fraction into partial fractions is explained step by step in this lesson. This is certainly a must-see for many high school and college students who need to learn this skill. All steps are shown and explained very clearly and slowly.
