OpenStax, Algebra and Trigonometry 2e §11.4 Partial Fractions · Exercise 6 · Algebra · Partial fractions

Partial Fractions · Exercise 6

Once you have a system of equations generated by the partial fraction decomposition, can you explain another method to solve it? For example if you had $\frac{7 x + 13}{3 x ^{2} + 8 x + 15} = \frac{A}{x + 1} + \frac{B}{3 x + 5}$ , we eventually simplify to $7 x + 13 = A (3 x + 5) + B (x + 1) .$ Explain how you could intelligently choose an $x$ -value that will eliminate either $A$ or $B$ and solve for $A$ and $B .$

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OpenStax, Algebra and Trigonometry 2e · §11.4 Partial Fractions · Exercise 6

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