The partial fraction decomposition of p(x) x³ (x + 1)(x² - 2x + 3)² is

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please answer the following question
Select 1 of the 7 choices
A
=+
X
B
C
A
=+ + +
x x² x3
B
x²
C
+=+
x3
D
x + 1
+
x²
Ax² + Bx + C
x3
D
x+1
Ex + F
-
+
The partial fraction decomposition of
+
2x + 3
D
x+1
Ex
x² - 2x + 3
+
+
+
Fx
(x² - 2x + 3)²
Gx + H
(x² - 2x + 3)²
Ex³ + Fx² + Gx + H
(x² - 2x + 3)²
A
x
+
Bx + C
x²
A
x
+
p(x)
x³ (x + 1)(x² - 2x + 3)²
A B C D
+ + +
x x² x³ x + 1
+
B
x+1
Dx² + Ex + F
x3
+
Ca + D
x² - 2x + 3
+
+
E
x² 2x + 3
G
x + 1
is
A
x3
+
+
+
B
x+1
Hx + I
x² - 2x + 3
F
(x² - 2x + 3)²
+
+
Jx³ + Kx² + Lx + M
(x² - 2x + 3)²
Ca + D
(x² - 2x + 3)²
Transcribed Image Text:Select 1 of the 7 choices A =+ X B C A =+ + + x x² x3 B x² C +=+ x3 D x + 1 + x² Ax² + Bx + C x3 D x+1 Ex + F - + The partial fraction decomposition of + 2x + 3 D x+1 Ex x² - 2x + 3 + + + Fx (x² - 2x + 3)² Gx + H (x² - 2x + 3)² Ex³ + Fx² + Gx + H (x² - 2x + 3)² A x + Bx + C x² A x + p(x) x³ (x + 1)(x² - 2x + 3)² A B C D + + + x x² x³ x + 1 + B x+1 Dx² + Ex + F x3 + Ca + D x² - 2x + 3 + + E x² 2x + 3 G x + 1 is A x3 + + + B x+1 Hx + I x² - 2x + 3 F (x² - 2x + 3)² + + Jx³ + Kx² + Lx + M (x² - 2x + 3)² Ca + D (x² - 2x + 3)²
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