1-2 - For each rational function r, choose from (i)-(iv) the appropriate form for its partial fraction decomposition. 4 1. r(x) x(x – 2)? A (i) B B *- 2 (x – 2)² Cx + D A (iii) B C B (iv) (x – 2)? (x – 2)? X - 2 2 2r + 8 2. r(x) (x - 1)(x? + 4) A (i) B x* + 4 A (ii) Bx + C x +4 A (iii) B x + 2 x* + 4 Ax + B (iv) Cx + D x + 4 + + +

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.3: Partial Fractions
Problem 2E
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Question
1-2 - For each rational function r, choose from (i)-(iv) the
appropriate form for its partial fraction decomposition.
4
1. r(x)
x(x – 2)?
A
(i)
B
B
*- 2
(x – 2)²
Cx + D
A
(iii)
B
C
B
(iv)
(x – 2)?
(x – 2)?
X - 2
2
2r + 8
2. r(x)
(x - 1)(x? + 4)
A
(i)
B
x* + 4
A
(ii)
Bx + C
x +4
A
(iii)
B
x + 2
x* + 4
Ax + B
(iv)
Cx + D
x + 4
+
+
+
Transcribed Image Text:1-2 - For each rational function r, choose from (i)-(iv) the appropriate form for its partial fraction decomposition. 4 1. r(x) x(x – 2)? A (i) B B *- 2 (x – 2)² Cx + D A (iii) B C B (iv) (x – 2)? (x – 2)? X - 2 2 2r + 8 2. r(x) (x - 1)(x? + 4) A (i) B x* + 4 A (ii) Bx + C x +4 A (iii) B x + 2 x* + 4 Ax + B (iv) Cx + D x + 4 + + +
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