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3x²+23

3x²+23

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.11: Using Several Methods Of Factoring
Problem 12MRE
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Need help with response #4.
3x²+23 (x+3)(x²+16)
Transcribed Image Text:3x²+23 (x+3)(x²+16)
Prompt: Your goal is to find the partial fraction decomposition of the expression you are assigned. The first step is to set up the decomposition using variables. I customarily use A, B and C, but you are free to use whatever variables you prefer. Response 1: Follow the process for setting up the system of equations you will need to decompose the fraction. Show each step of the solution process. Begin by writing the equation that shows the expression you are decomposing. Response 2: Write an augmented matrix based on the results from Response 1. Solve the matrix. You may solve it by hand, or you may use technology. Include the matrix you start with, the matrix you end with, and tell me what method you have used, or show each step you worked through yourself. Response 3: Solve the same system using the inverse matrix method. Write the initial matrix, the inverse matrix and the solution matrix. You may solve it by hand, or you may use technology. Tell me what technology you have used, or show each step you worked through yourself. Response 4: Write your solution to the original question: the partial fraction decomposition. Write your answer as an equation with the original expression on one side and the solution on the other.
Transcribed Image Text:Prompt: Your goal is to find the partial fraction decomposition of the expression you are assigned. The first step is to set up the decomposition using variables. I customarily use A, B and C, but you are free to use whatever variables you prefer. Response 1: Follow the process for setting up the system of equations you will need to decompose the fraction. Show each step of the solution process. Begin by writing the equation that shows the expression you are decomposing. Response 2: Write an augmented matrix based on the results from Response 1. Solve the matrix. You may solve it by hand, or you may use technology. Include the matrix you start with, the matrix you end with, and tell me what method you have used, or show each step you worked through yourself. Response 3: Solve the same system using the inverse matrix method. Write the initial matrix, the inverse matrix and the solution matrix. You may solve it by hand, or you may use technology. Tell me what technology you have used, or show each step you worked through yourself. Response 4: Write your solution to the original question: the partial fraction decomposition. Write your answer as an equation with the original expression on one side and the solution on the other.
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