Split {eq}\dfrac{5x^2 - 13x - 10}{x(2x + 1)(x + 2)} {/eq} into partial fractions.


Split {eq}\dfrac{5x^2 - 13x - 10}{x(2x + 1)(x + 2)} {/eq} into partial fractions.

Partial Fraction Splitting:

The degree of the numerator must always be lower than the degree of the denominator while splitting a rational function into partial fractions. There are several types of denominators, i.e., linear factors, irreducible factors, etc.

Answer and Explanation: 1

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  • The expression given is {eq}\dfrac{{5{x^2} - 13x - 10}}{{x\left( {2x + 1} \right)\left( {x + 2} \right)}} {/eq}.

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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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