Skip to main content

Math Algebra Elementary Linear Algebra

Partial Fraction Decomposition In Exercises 31 − 34 , use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. 3 x 2 − 7 x − 12 ( x + 4 ) ( x − 4 ) 2 = A x + 4 + B x − 4 + C ( x − 4 ) 2

Partial Fraction Decomposition In Exercises 31 − 34 , use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. 3 x 2 − 7 x − 12 ( x + 4 ) ( x − 4 ) 2 = A x + 4 + B x − 4 + C ( x − 4 ) 2

Solution Summary: The author explains how to calculate the tion decomposition of the rational expression 3x2-7x-12(x+4).

Elementary Linear Algebra

Elementary Linear Algebra

8th Edition

ISBN: 9780357156100

Author: Ron Larson

Publisher: Cengage Limited

See similar textbooks

Videos

Textbook Question

Chapter 1.3, Problem 32E

Partial Fraction Decomposition In Exercises 31 − 34 , use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices.

3 x 2 − 7 x − 12 ( x + 4 ) ( x − 4 ) 2 = A x + 4 + B x − 4 + C ( x − 4 ) 2

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

Blurred answer

Chapter 1.3, Problem 31E

Chapter 1.3, Problem 33E

Students have asked these similar questions

Partial fraction: determine the value of A. (3x-1)/x2+x-6 =A/(x+3)+ B/(x-2) a. 2 b. -1 c. 1 d. -2

This is discrete mathematics

Chapter 1 Solutions

Elementary Linear Algebra

Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Linear Equations. In Exercises 1-6, determine...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...Ch. 1.1 - Parametric Representation. In Exercises 7-10, find...

Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Graphing Analysis. In Exercises 11-24, graph the...Ch. 1.1 - Back-Substitution. In Exercises 25-30, use...Ch. 1.1 - Back-Substitution. In Exercises 25-30, use...Ch. 1.1 - Back-Substitution. In Exercises 25-30, use...Ch. 1.1 - Back-Substitution. In Exercises 25-30, use...Ch. 1.1 - Back-Substitution. In Exercises 25-30, use...Ch. 1.1 - Back-Substitution. In Exercises 25-30, use...Ch. 1.1 - Prob. 31E Ch. 1.1 - Graphical Analysis. In Exercises 31-36, complete...Ch. 1.1 - Graphical Analysis. In Exercises 31-36, complete...Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Graphical Analysis. In Exercises 31-36, complete...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - Prob. 38E Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - Prob. 40E Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - Prob. 43E Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 37-56,...Ch. 1.1 - System of Linear Equations. In Exercises 57-62,...Ch. 1.1 - System of Linear Equations. In Exercises 57-62,...Ch. 1.1 - System of Linear Equations. In Exercises 57-62,...Ch. 1.1 - System of Linear Equations. In Exercises 57-62,...Ch. 1.1 - System of Linear Equations. In Exercises 57-62,...Ch. 1.1 - System of Linear Equations. In Exercises 57-62,...Ch. 1.1 - Number of Solutions. In Exercises 63-66, state why...Ch. 1.1 - Number of Solutions. In Exercises 63-66, state why...Ch. 1.1 - Number of Solutions. In Exercises 63-66, state why...Ch. 1.1 - Number of Solutions. In Exercises 63-66, state why...Ch. 1.1 - Nutrition One eight-ounce glass of apple juice and...Ch. 1.1 - Airplane Speed Two planes start from Los Angeles...Ch. 1.1 - True or False? In Exercises 69 and 70, determine...Ch. 1.1 - True or False? In Exercises 69 and 70, determine...Ch. 1.1 - Find a system of two equations in two variables,...Ch. 1.1 - Find a system of two equations in three variables,...Ch. 1.1 - Substitution In Exercises 73-76, solve the system...Ch. 1.1 - Substitution In Exercises 73-76, solve the system...Ch. 1.1 - Prob. 75E Ch. 1.1 - Substitution In Exercises 73-76, solve the system...Ch. 1.1 - Prob. 77E Ch. 1.1 - Trigonometric Coefficients In Exercises 77 and 78,...Ch. 1.1 - Coefficient Design In Exercises 79-84, determine...Ch. 1.1 - Coefficient Design In Exercises 79-84, determine...Ch. 1.1 - Coefficient Design In Exercises 79-84, determine...Ch. 1.1 - Coefficient Design In Exercises 79-84, determine...Ch. 1.1 - Prob. 83E Ch. 1.1 - Coefficient Design In Exercises 79-84, determine...Ch. 1.1 - Determine the values of k such that the system of...Ch. 1.1 - CAPSTONE Find values of a, b, and c such that the...Ch. 1.1 - Writing Consider the system of linear equations in...Ch. 1.1 - Writing Explain why the system of linear equations...Ch. 1.1 - Show that if ax2+bx+c=0 for all x, then a=b=c=0.Ch. 1.1 - Consider the system of linear equations in x and...Ch. 1.1 - Discovery In Exercises 91 and 92, sketch the lines...Ch. 1.1 - Discovery In Exercises 91 and 92, sketch the lines...Ch. 1.1 - Prob. 93E Ch. 1.1 - Writing In Exercises 93 and 94, the graphs of the...Ch. 1.2 - Matrix sizeIn Exercises 1-6, determine the size of...Ch. 1.2 - Matrix sizeIn Exercises 1-6, determine the size of...Ch. 1.2 - Matrix sizeIn Exercises 1-6, determine the size of...Ch. 1.2 - Prob. 4E Ch. 1.2 - Matrix sizeIn Exercises 1-6, determine the size of...Ch. 1.2 - Prob. 6E Ch. 1.2 - Elementary Row Operations In Exercises 7-10,...Ch. 1.2 - Elementary Row Operations In Exercises 7-10,...Ch. 1.2 - Elementary Row Operations In Exercises 7-10,...Ch. 1.2 - Elementary Row Operations In Exercises 7-10,...Ch. 1.2 - Augmented Matrix In Exercises 11-18, find the...Ch. 1.2 - Augmented Matrix In Exercises 11-18, find the...Ch. 1.2 - Augmented Matrix In Exercises 11-18, find the...Ch. 1.2 - Augmented Matrix In Exercises 11-18, find the...Ch. 1.2 - Augmented Matrix In Exercises 11-18, find the...Ch. 1.2 - Augmented Matrix In Exercises 11-18, find the...Ch. 1.2 - Augmented Matrix In Exercises 11-18, find the...Ch. 1.2 - Augmented Matrix In Exercises 11-18, find the...Ch. 1.2 - Row-Echelon Form In Exercises 19-24, determine...Ch. 1.2 - Row-Echelon Form In Exercises 19-24, determine...Ch. 1.2 - Row-Echelon Form In Exercises 19-24, determine...Ch. 1.2 - Row-Echelon Form In Exercises 19-24, determine...Ch. 1.2 - Row-Echelon Form In Exercises 19-24, determine...Ch. 1.2 - Row-Echelon Form In Exercises 19-24, determine...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - Prob. 36E Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - System of Linear Equations In Exercises 25-38,...Ch. 1.2 - Prob. 39E Ch. 1.2 - Prob. 40E Ch. 1.2 - Prob. 41E Ch. 1.2 - System of Linear Equations In Exercises 39-42, use...Ch. 1.2 - Homogeneous System In Exercises 43-46, solve the...Ch. 1.2 - Homogeneous System In Exercises 43-46, solve the...Ch. 1.2 - Homogeneous System In Exercises 43-46, solve the...Ch. 1.2 - Homogeneous System In Exercises 43-46, solve the...Ch. 1.2 - Prob. 47E Ch. 1.2 - Prob. 48E Ch. 1.2 - Matrix Representation In Exercises 49 and 50,...Ch. 1.2 - Matrix Representation In Exercises 49 and 50,...Ch. 1.2 - Coefficient Design In Exercises 51 and 52, find...Ch. 1.2 - Coefficient Design In Exercises 51 and 52, find...Ch. 1.2 - Prob. 53E Ch. 1.2 - Prob. 54E Ch. 1.2 - Prob. 55E Ch. 1.2 - Prob. 56E Ch. 1.2 - Prob. 57E Ch. 1.2 - Prob. 58E Ch. 1.2 - True or False? In Exercises 59 and 60, determine...Ch. 1.2 - Prob. 60E Ch. 1.2 - Prob. 61E Ch. 1.2 - Prob. 62E Ch. 1.2 - Prob. 63E Ch. 1.2 - Row Equivalence In Exercises 63 and 64, determine...Ch. 1.2 - Homogeneous System In Exercises 65 and 66, find...Ch. 1.2 - Prob. 66E Ch. 1.2 - Prob. 67E Ch. 1.2 - CAPSTONE In your own words, describe the...Ch. 1.2 - Prob. 69E Ch. 1.2 - Prob. 70E Ch. 1.3 - Polynomial Curve Fitting In Exercises 1-12,a...Ch. 1.3 - Polynomial Curve Fitting In Exercises 1-12,a...Ch. 1.3 - Prob. 3E Ch. 1.3 - Polynomial Curve Fitting In Exercises 1-12,a...Ch. 1.3 - Polynomial Curve Fitting In Exercises 1-12,a...Ch. 1.3 - Prob. 6E Ch. 1.3 - Prob. 7E Ch. 1.3 - Prob. 8E Ch. 1.3 - Polynomial Curve Fitting In Exercises 1-12,a...Ch. 1.3 - Prob. 10E Ch. 1.3 - Prob. 11E Ch. 1.3 - Polynomial Curve Fitting In Exercises 1-12,a...Ch. 1.3 - Use sin0=0, sin2=1, and sin=0 to estimate sin3.Ch. 1.3 - Use log21=0,log22=1, and log24=2 to estimate...Ch. 1.3 - Prob. 15E Ch. 1.3 - Prob. 16E Ch. 1.3 - Prob. 17E Ch. 1.3 - Population The table shows the U.S. populations...Ch. 1.3 - Prob. 19E Ch. 1.3 - Prob. 20E Ch. 1.3 - Network Analysis The figure shows the flow of...Ch. 1.3 - Network Analysis The figure shows the flow of...Ch. 1.3 - Network Analysis The figure shows the flow of...Ch. 1.3 - Network Analysis Water is flowing through a...Ch. 1.3 - Prob. 25E Ch. 1.3 - Prob. 26E Ch. 1.3 - Prob. 27E Ch. 1.3 - Prob. 28E Ch. 1.3 - Temperature In Exercises 29 and 30, the figure...Ch. 1.3 - Temperature In Exercises 29 and 30, the figure...Ch. 1.3 - Partial Fraction Decomposition In Exercises 3134,...Ch. 1.3 - Partial Fraction Decomposition In Exercises 3134,...Ch. 1.3 - Prob. 33E Ch. 1.3 - Prob. 34E Ch. 1.3 - Calculus In Exercises 35 and 36, find the values...Ch. 1.3 - Prob. 36E Ch. 1.3 - Calculus The graph of a parabola passes through...Ch. 1.3 - Calculus The graph of a cubic polynomial function...Ch. 1.3 - Prob. 39E Ch. 1.3 - Prob. 40E Ch. 1.3 - Prob. 41E Ch. 1.3 - Prob. 42E Ch. 1.CR - Linear Equations In Exercises 1-6, determine...Ch. 1.CR - Linear Equations In Exercises 1-6, determine...Ch. 1.CR - Prob. 3CR Ch. 1.CR - Prob. 4CR Ch. 1.CR - Prob. 5CR Ch. 1.CR - Prob. 6CR Ch. 1.CR - Prob. 7CR Ch. 1.CR - Parametric Representation In Exercises 7 and 8,...Ch. 1.CR - Prob. 9CR Ch. 1.CR - Prob. 10CR Ch. 1.CR - Prob. 11CR Ch. 1.CR - System of Linear Equations In Exercises 9-20,...Ch. 1.CR - Prob. 13CR Ch. 1.CR - Prob. 14CR Ch. 1.CR - Prob. 15CR Ch. 1.CR - System of Linear Equations In Exercises 9-20,...Ch. 1.CR - Prob. 17CR Ch. 1.CR - Prob. 18CR Ch. 1.CR - Prob. 19CR Ch. 1.CR - Prob. 20CR Ch. 1.CR - Prob. 21CR Ch. 1.CR - Prob. 22CR Ch. 1.CR - Prob. 23CR Ch. 1.CR - Prob. 24CR Ch. 1.CR - Prob. 25CR Ch. 1.CR - Prob. 26CR Ch. 1.CR - Prob. 27CR Ch. 1.CR - Prob. 28CR Ch. 1.CR - Prob. 29CR Ch. 1.CR - Prob. 30CR Ch. 1.CR - Prob. 31CR Ch. 1.CR - Prob. 32CR Ch. 1.CR - Prob. 33CR Ch. 1.CR - Prob. 34CR Ch. 1.CR - Prob. 35CR Ch. 1.CR - System of Linear Equations In Exercises 31-40,...Ch. 1.CR - Prob. 37CR Ch. 1.CR - System of Linear Equations In Exercises 31-40,...Ch. 1.CR - Prob. 39CR Ch. 1.CR - Prob. 40CR Ch. 1.CR - Prob. 41CR Ch. 1.CR - Prob. 42CR Ch. 1.CR - Prob. 43CR Ch. 1.CR - Prob. 44CR Ch. 1.CR - Prob. 45CR Ch. 1.CR - Prob. 46CR Ch. 1.CR - Homogeneous System In Exercises 47-50, solve the...Ch. 1.CR - Prob. 48CR Ch. 1.CR - Prob. 49CR Ch. 1.CR - Prob. 50CR Ch. 1.CR - Prob. 51CR Ch. 1.CR - Prob. 52CR Ch. 1.CR - Prob. 53CR Ch. 1.CR - Find if possible values of a,b, and c such that...Ch. 1.CR - Prob. 55CR Ch. 1.CR - Prob. 56CR Ch. 1.CR - Prob. 57CR Ch. 1.CR - Find all values of for which the homogeneous...Ch. 1.CR - Prob. 59CR Ch. 1.CR - Prob. 60CR Ch. 1.CR - Sports In Super Bowl I, on January 15, 1967, the...Ch. 1.CR - Agriculture A mixture of 6 gallons of chemical A,...Ch. 1.CR - Prob. 63CR Ch. 1.CR - Prob. 64CR Ch. 1.CR - Prob. 65CR Ch. 1.CR - Prob. 66CR Ch. 1.CR - Prob. 67CR Ch. 1.CR - Prob. 68CR Ch. 1.CR - Prob. 69CR Ch. 1.CR - Prob. 70CR Ch. 1.CR - Prob. 71CR Ch. 1.CR - Network Analysis Determine the currents I1,I2, and...

Knowledge Booster

Background pattern image

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Environmental Science The predicted cost C (in thousands of dollars) for a company to remove p of a chemical from its waste water is given by the model C=120p10000p2,0p100. Write the partial fraction decomposition for the rational function. Verify your result by using a graphing utility to create a table comparing the original function with the partial fractions.

Recommended textbooks for you

Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781337282291
Author:Ron Larson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning

Text book image

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:9781305658004

Author:Ron Larson

Publisher:Cengage Learning

Text book image

College Algebra

Algebra

ISBN:9781337282291

Author:Ron Larson

Publisher:Cengage Learning

Text book image

College Algebra

Algebra

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:Cengage Learning

SEE MORE TEXTBOOKS

UG/ linear equation in linear algebra; Author: The Gate Academy;https://www.youtube.com/watch?v=aN5ezoOXX5A;License: Standard YouTube License, CC-BY

System of Linear Equations-I; Author: IIT Roorkee July 2018;https://www.youtube.com/watch?v=HOXWRNuH3BE;License: Standard YouTube License, CC-BY