3x2-2x+4 x3-2r²-4x+8 4. Given a rational function: r(x) = Factor the denominator completely. Make sure you justify your answer by showing all the a. steps. Use part (a) to write the form of the partial fraction decomposition for r(x). Make sure you justify your answer by showing all the steps. b. Page 1 of 2 Simplify part (b) to set up a system of linear equations to find the coefficients of the partial fraction decomposition. Make sure you justify your answer by showing all the steps. C.

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
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4. Given a rational function: r(x) =
3x2-2x+4
x3-2x–4x+8
Factor the denominator completely. Make sure you justify your answer by showing all the
steps.
a.
Use part (a) to write the form of the partial fraction decomposition for r(x). Make sure you
justify your answer by showing all the steps.
b.
Page 1 of 2
Simplify part (b) to set up a system of linear equations to find the coefficients of the partial
fraction decomposition. Make sure you justify your answer by showing all the steps.
C.
Transcribed Image Text:4. Given a rational function: r(x) = 3x2-2x+4 x3-2x–4x+8 Factor the denominator completely. Make sure you justify your answer by showing all the steps. a. Use part (a) to write the form of the partial fraction decomposition for r(x). Make sure you justify your answer by showing all the steps. b. Page 1 of 2 Simplify part (b) to set up a system of linear equations to find the coefficients of the partial fraction decomposition. Make sure you justify your answer by showing all the steps. C.
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