Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficient (a) (b) x6 x² - 4 A x 2 + B x + 2 x4 (x²-x + 1)(x² + 8)² Ax + B x²-x-1 X + Cx + D x² +8 + Ex + F (x²+8)² 12 X

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 7E
icon
Related questions
Question

please help i am confused 

EXAMPLE Write out the form of the partial fraction decomposition of the function
3
x³ + x² + 1
x(x − 1)(x² + x + 1)(x² + 1)³
SOLUTION
x(x
x³ + x² + 1
1)(x² + x + 1)(x² + 1)³
=
A
X
+
X
B
1
+
Cx + D
x² + x + 1
+
Ex + F
x² + 1
+
Gx + H
(x² + 1)²
+
Ix + J
(x² + 1)³
Transcribed Image Text:EXAMPLE Write out the form of the partial fraction decomposition of the function 3 x³ + x² + 1 x(x − 1)(x² + x + 1)(x² + 1)³ SOLUTION x(x x³ + x² + 1 1)(x² + x + 1)(x² + 1)³ = A X + X B 1 + Cx + D x² + x + 1 + Ex + F x² + 1 + Gx + H (x² + 1)² + Ix + J (x² + 1)³
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients.
(a)
(b)
x²
-
4
A
X- 2
+
x²
Ax + B
+8
(+² - x + 1)(x² + 8)²
B
x + 2
– 1
-X-
X
+
Cx + D
x² +8
+
Ex + F
(x² + 8)² x
Transcribed Image Text:Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) (b) x² - 4 A X- 2 + x² Ax + B +8 (+² - x + 1)(x² + 8)² B x + 2 – 1 -X- X + Cx + D x² +8 + Ex + F (x² + 8)² x
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning