- #1
Guzman10
- 2
- 0
(x-3)/(x^2+4x+3)
After i factor the denominator what do i do next to find A and B?
=(x-3)/(x+3)(x+1)
=A/(x+3)+B/(x+1)
After i factor the denominator what do i do next to find A and B?
=(x-3)/(x+3)(x+1)
=A/(x+3)+B/(x+1)
Partial fraction decomposition is a method used to break down a rational function (a fraction where the numerator and denominator are polynomials) into smaller, simpler fractions.
Partial fraction decomposition is useful because it allows us to solve integrals and simplify complex rational functions, making them easier to work with and understand.
To perform partial fraction decomposition, you must first factor the denominator of the rational function. Then, you set up and solve a system of equations to determine the unknown coefficients of the smaller fractions.
The constant in the denominator of the smaller fractions is used to ensure that the overall fraction is equivalent to the original rational function. This constant is determined through the process of solving the system of equations.
Yes, every rational function can be decomposed using partial fraction decomposition. However, the process may become more complex for functions with higher degrees in the numerator or denominator.