- #1
- 37,660
- 9,915
Mark44 submitted a new PF Insights post
Partial Fractions Decomposition
Continue reading the Original PF Insights Post.
Partial Fractions Decomposition
Continue reading the Original PF Insights Post.
It LOOKED good, but I only LOOKED at it; did not read it. I assume it said what is was supposed to. Some good college algebra and precalculus books have similar sections or two on this, just as well.SammyS said:
Partial fractions decomposition is a mathematical method used to simplify complex rational expressions. It involves breaking down a rational expression into smaller, simpler fractions that can be solved individually.
Partial fractions decomposition is commonly used in calculus and algebra, particularly in solving integrals and simplifying algebraic expressions. It is also used in engineering and physics for solving differential equations.
The process of partial fractions decomposition involves breaking down a rational expression into smaller fractions with denominators that are linear or quadratic. This can be done by using algebraic manipulation and solving a system of equations to find the coefficients of the smaller fractions.
Partial fractions decomposition can only be used for proper rational expressions, i.e. those where the degree of the numerator is less than the degree of the denominator. It also cannot be used for expressions with repeated or complex roots.
Partial fractions decomposition allows for the simplification of complex rational expressions, making them easier to solve and manipulate. It also has applications in solving real-world problems in fields such as physics and engineering.