# Which of the following is an expression that represents the partial fraction decomposition of the...

## Question:

Which of the following is an expression that represents the partial fraction decomposition of the following rational function such that it is an equivalent expression with the same domain:

{eq}\frac{9x - 7}{2x^2 - 3x + 1}\\ \text{a.}\; \frac{2}{x + 1} - \frac{5}{2x - 1}\\ \text{b.}\; \frac{2}{x - 1} + \frac{5}{2x - 1}\\ \text{c.}\; \frac{2}{x + 1} + \frac{5}{2x + 1}\\ \text{d.}\; \frac{2}{x + 1} - \frac{5}{2x - 1}\\ \text{e.}\; \text{None} {/eq}

## Partial Fractions:

A given proper rational fraction of two polynomials can be expressed as the sum of other simple fractions corresponding to the factors of the denominator of the given proper fraction. This process is called splitting into Partial Fractions.

## Answer and Explanation: 1

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View this answer{eq}\begin{align*} \frac{9x - 7}{2x^2 - 3x + 1}&=\frac{9x-7}{2x^2-2x-x+1}\\[0.3 cm] &=\frac{9x-7}{2x(x-1)-(x-1)}&&\text{[Take out the common...

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Chapter 3 / Lesson 26Learn about what partial fractions are and their formula. Understand the method of how to do partial fractions from the rational and improper functions.