Partial fractions is the name given to a technique of integration that may be used
to integrate any ratio of polynomials. A ratio of polynomials is called a rational function.
Suppose that N(x) and D(x) are polynomials. The basic strategy is to write N(x)
D(x)
as the
sum of a polynomial P(x) (this term is present only if the degree of N(x) is strictly bigger
than the degree of D(x)) and a number of rational functions of the particularly simple forms
A
(ax+b)n and Ax+B
(ax2+bx+c)m .
How are Factoring and Solving related?
This lesson covers many ways to solve quadratics, such as taking square roots, completing the square, and using the Quadratic Formula. But we'll start with solving by factoring.
to integrate any ratio of polynomials. A ratio of polynomials is called a rational function.
Suppose that N(x) and D(x) are polynomials. The basic strategy is to write N(x)
D(x)
as the
sum of a polynomial P(x) (this term is present only if the degree of N(x) is strictly bigger
than the degree of D(x)) and a number of rational functions of the particularly simple forms
A
(ax+b)n and Ax+B
(ax2+bx+c)m .
How are Factoring and Solving related?
This lesson covers many ways to solve quadratics, such as taking square roots, completing the square, and using the Quadratic Formula. But we'll start with solving by factoring.