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Quantitative Aptitude

Functions

Number of Par...

Question

Number of Partial Fractions obtained from $\frac{1}{x^{4} (x^{3} + 1)}$

A

7

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B

8

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C

5

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D

6

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Solution

The correct option is D 6
$\frac{1}{x^{4} (x^{3} + 1)}$
$\frac{1}{x^{4} (x + 1) (x^{2} - x + 1)} = \frac{A}{x} + \frac{B}{x^{2}} + \frac{C}{x^{3}} + \frac{D}{x^{4}} + \frac{E}{(x + 1)} + \frac{F}{(x^{2} - x + 1)}$
So, number of partial fractions = 6

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