Solution Found!
What’s wrong Explain why the coefficients A and B cannot
Chapter 4, Problem 48E(choose chapter or problem)
What's wrong? Explain why the coefficients A and B cannot be found if we set
\(\frac{x^{2}}{(x-4)(x+5)}=\frac{A}{x-4}+\frac{B}{x+5}\).
Questions & Answers
QUESTION:
What's wrong? Explain why the coefficients A and B cannot be found if we set
\(\frac{x^{2}}{(x-4)(x+5)}=\frac{A}{x-4}+\frac{B}{x+5}\).
ANSWER:Problem 48EWhat’s wrong Explain why the coefficients A and B cannot be found if we set Solution:Step 1In this problem we have to explain why we cannot found A and B if we set The partial fraction decomposition is done only when the degree of the numerator is less than the degree of the denominator. And if the degree of the numerator is greater than or equal to the degree of the denominator, the first step to perform is long division in order to reduce the degree of numerator.