For the function f x = fraction 2x^2 -5x +2 x^3 +x Find the a. Partial fractions decomposition....


For the function {eq}f(x) = \dfrac{ (2x^2 -5x +2) }{ (x^3 +x) } {/eq}

Find the

a. Partial fractions decomposition.

b. Value of constant {eq}\rm A. {/eq}

c. Value of constant {eq}\rm B. {/eq}

d. Value of constant {eq}\rm C. {/eq}

Partial fractions:

The best way to decompose the fractional function into a polynomial form is using the partial fraction decomposition. Partial fraction decomposition is different for different functions like the function can be with two linear terms in the denominator or with one linear and one quadratic term in denominator and so on.

Answer and Explanation: 1

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  • Consider the function {eq}f\left( x \right) = \frac{{2{x^2} - 5x + 2}}{{\left( {{x^3} + x} \right)}}{/eq} .

Rewrite {eq}f\left( x...

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Learn more about this topic:

Partial Fractions: Rules, Formula & Examples


Chapter 3 / Lesson 26

Learn about what partial fractions are and their formula. Understand the method of how to do partial fractions from the rational and improper functions.

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