Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) (b) X x² + x - 12 x² x²+x+4

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.4: Partial Fractions
Problem 4TI: Find the partial fraction decomposition of the expression with a repeated irreducible quadratic...
icon
Related questions
Question
Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients.
(a)
(b)
X
x² + x - 12
x²
x² + x + 4
Transcribed Image Text:Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) (b) X x² + x - 12 x² x² + x + 4
EXAMPLE Write out the form of the partial fraction decomposition of the function
x³ + x² + 1
3
x(x − 1)(x² + x + 1)(x² + 1)³
SOLUTION
x³ + x² + 1
x(x − 1)(x² + x + 1)(x² + 1)³
A
X
+
B
X - 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 x³ + x² + 1 3 x(x − 1)(x² + x + 1)(x² + 1)³ SOLUTION x³ + x² + 1 x(x − 1)(x² + x + 1)(x² + 1)³ A X + B X - 1 + Cx + D x² + x + 1 + Ex + F x² + 1 + Gx + H (x² + 1)² + Ix + J (x² + 1)³
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Part b must have some form of an answer right? It doesn't give me the option of DNE or anything, so how can I find some form of a solution?

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage