7. (a) How do we express a rational function r as a partial frac- tion decomposition? (b) Give the form of the partial fraction decomposition. 2x (i) (x – 5)(x – 1) 2x (ii) (x – 5)(x² + 1) 3x + 1 (iii) x(x² + 1)²

Algebra and Trigonometry (MindTap Course List)
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Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
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7. (a) How do we express a rational function r as a partial frac-
tion decomposition?
(b) Give the form of the partial fraction decomposition.
2x
(i)
(x – 5)(x – 1)
2x
(ii)
(x – 5)(x² + 1)
3x + 1
(iii)
x(x² + 1)²
Transcribed Image Text:7. (a) How do we express a rational function r as a partial frac- tion decomposition? (b) Give the form of the partial fraction decomposition. 2x (i) (x – 5)(x – 1) 2x (ii) (x – 5)(x² + 1) 3x + 1 (iii) x(x² + 1)²
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