Partial Fractions
Definition
Breaking down a rational function into simpler fractions called partial fractions. This allows us to integrate complicated rational functions more easily.
Analogy
Partial fractions are like breaking down a large pizza into individual slices. By dividing the whole into smaller, more manageable parts, we can analyze and enjoy each slice separately.
Related terms
Rational Function: A function that can be expressed as the quotient of two polynomials.
Improper Fraction: A fraction where the numerator is equal to or greater than the denominator.
Decomposition: The process of breaking down a complex mathematical expression into simpler components.
"Partial Fractions" appears in:
Additional resources (1)
Practice Questions (4)
Which method is used to find the coefficients when using linear partial fractions?
What does a repeated linear factor in the denominator indicate when using linear partial fractions?
Which of the following is true about partial fractions with irreducible quadratic factors in the denominator?
Which property of linear partial fractions allows for the decomposition of a rational function?
Resources
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.