Question
The number of partial fractions of ![fraction numerator 2 over denominator x to the power of 4 plus x squared plus 1 end fraction](data:image/png;base64,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)
- 2
- 3
- 4
- 5
The correct answer is: 2
Partial fractions are the fractions used for the decomposition of a rational expression. When an algebric expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.
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is ![1 plus left parenthesis 1 plus x right parenthesis plus left parenthesis 1 plus x right parenthesis squared plus](data:image/png;base64,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)
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