What is the form of the partial fraction decomposition of a rational function P ( x ) Q ( x ) if the degree of P is less than the degree of Q and has only distinct linear factors? What if a linear factor is repeated? What if Q(x) has an irreducible (non-factorable) quadratic factor (not repeated)? What if the quadratic factor is repeated?
What is the form of the partial fraction decomposition of a rational function P ( x ) Q ( x ) if the degree of P is less than the degree of Q and has only distinct linear factors? What if a linear factor is repeated? What if Q(x) has an irreducible (non-factorable) quadratic factor (not repeated)? What if the quadratic factor is repeated?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 7E
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What is the form of the partial fraction decomposition of a rational function P ( x ) Q ( x ) if the degree of P is less than the degree of Q and has only distinct linear factors? What if a linear factor is repeated? What if Q(x) has an irreducible (non-factorable) quadratic factor (not repeated)? What if the quadratic factor is repeated?
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