2x+6 Given a rational function: r(x) x3-2x2+4x-6

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 29CT
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Given a rational function: ?(?)=(2?+6)/(x^3-2x^2+4x-6)


1. Factor the denominator completely by finding all the zeroes.
2. Write the form of the partial fraction decomposition for ?(?).
3. Setup a system of linear equations to solve for the coefficients in part (2).
4. Solve the system in part (3) to get the partial fraction decomposition for ?(?). Make sure you give the decomposition.

2x+6
Given a rational function: r(x)
x3-2x2+4x-6
Transcribed Image Text:2x+6 Given a rational function: r(x) x3-2x2+4x-6
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