For the partial fraction decomposition (5x + 2)/((x + 3)(x - 1)) = A/(x + 3) + B/(x - 1), then B...


For the partial fraction decomposition {eq}\frac{5x + 2}{(x + 3)(x - 1)} = \frac{A}{x + 3} + \frac{B}{x - 1}, {/eq} then {eq}B = {/eq}

A. {eq}\frac{7}{4} {/eq}

B. {eq}- \frac{7}{4} {/eq}

C. {eq}\frac{13}{4} {/eq}

D. {eq}- \frac{13}{4} {/eq}

Partial Fraction Decomposition:

When we have a complex rational expression or ratio of two polynomials, then we use the partial fraction decomposition method to break the complex rational expression into a sum of smaller rational expressions. Here, the denominator of the rational expression should be in factor form. It is mostly applied in calculus mathematics to integrate complex rational expressions.

Answer and Explanation: 1

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Given Data:

  • The expanded form of the rational expression is: {eq}\dfrac{{5x + 2}}{{\left( {x + 3} \right)\left( {x - 1} \right)}} = \dfrac{A}{{x +...

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Partial Fraction Decomposition: Rules & Examples


Chapter 3 / Lesson 25

Learn about how to carry out partial fraction decomposition with polynomial fractions. Discover example equations and walkthroughs of partial fraction decomposition.

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