Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) 6 x2-4 (b) x4 (x²-x + 1)(x² + 9)². Submit Answer
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) 6 x2-4 (b) x4 (x²-x + 1)(x² + 9)². Submit Answer
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 7CT
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Transcribed Image Text:EXAMPLE Write out the form of the partial fraction decomposition of the function
x³ + x² + 1
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
x(x
+
Cx + D
x² + x + 1
+
Ex + F
x² + 1
+
Gx + H
(x² + 1)²
+
Ix + J
(x² + 1)³
Transcribed Image Text:Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients.
(a) +6
(b)
x2 - 4
x4
(x²-x + 1)(x² + 9)².
Submit Answer
4
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