2x + 8 2. r(x) = (x - 1)(x² + 4) A (i) x - 1 B x? + 4 A (ii) x- 1 Вх + С x² + 4 A (iii) x - 1 В C x + 2 x² + 4 Ax + B (iv) x- 1 Cx + D x² + 4 +

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 31WE
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For each rational function r, choose from (i)-(iv) the appropriate form for its partial fraction decomposition.

2x + 8
2. r(x) =
(x - 1)(x² + 4)
A
(i)
x - 1
B
x? + 4
A
(ii)
x- 1
Вх + С
x² + 4
A
(iii)
x - 1
В
C
x + 2
x² + 4
Ax + B
(iv)
x- 1
Cx + D
x² + 4
+
Transcribed Image Text:2x + 8 2. r(x) = (x - 1)(x² + 4) A (i) x - 1 B x? + 4 A (ii) x- 1 Вх + С x² + 4 A (iii) x - 1 В C x + 2 x² + 4 Ax + B (iv) x- 1 Cx + D x² + 4 +
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