MATH 1021 Chapter : Section 12 4
Document Summary
Recall that a rational expression in one variable is of the form. Q x where ( )p x and ( )q x are polynomials. When combining two or more rational expressions into a single rational expression, we such that must first determine the lowest common denominator (lcd). For example, suppose that we wish to subtract. 1x the rational expression result is shown below. That is, we will start with a single rational expression and write it as the sum or difference of two or more simpler rational expressions. Using the example from above, we say that partial fraction decomposition of the expression. 2 x x decomposition is a procedure that is especially useful and often necessary in calculus. The partial fraction decomposition of a rational expression of the form. In all examples and exercises in this section, the two criteria above are always satisfied. Q x where ( )q x has only distinct linear factors.
