What term(s) should appear in the partial fraction decomposition of a proper rational function with each of the following? a. A factor of x-3 in the denominator b. A factor of (x-4)³ in the denominator c. A factor of x² + 2x + 6 in the denominator
What term(s) should appear in the partial fraction decomposition of a proper rational function with each of the following? a. A factor of x-3 in the denominator b. A factor of (x-4)³ in the denominator c. A factor of x² + 2x + 6 in the denominator
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 51E
Related questions
Question
![What term(s) should appear in the partial fraction decomposition of a proper rational function with each of the following?
a. A factor of x-3 in the denominator
b. A factor of (x-4)³ in the denominator
c. A factor of x² + 2x + 6 in the denominator
c. When a proper rational function has factor of x + 2x + 6 in the denominator, which of the following should appear in its partial fraction decomposition? Choose the correct answer below.
OA.
O. C.
Ax
x²+2x+6
A₁
B. x²+2x+6x²+2x+6
O D.
A
x²+2x+6
A₂
Ax+ B
x²+2x+6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F070e8b65-931e-44e7-bfb4-6d69e5ced655%2Fd15a77db-cee9-4f2c-b62d-6cdb7ce95dd6%2Fg94ijvo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:What term(s) should appear in the partial fraction decomposition of a proper rational function with each of the following?
a. A factor of x-3 in the denominator
b. A factor of (x-4)³ in the denominator
c. A factor of x² + 2x + 6 in the denominator
c. When a proper rational function has factor of x + 2x + 6 in the denominator, which of the following should appear in its partial fraction decomposition? Choose the correct answer below.
OA.
O. C.
Ax
x²+2x+6
A₁
B. x²+2x+6x²+2x+6
O D.
A
x²+2x+6
A₂
Ax+ B
x²+2x+6
![What term(s) should appear in the partial fraction decomposition of a proper rational function with each of the following?
a. A factor of x-3 in the denominator
b. A factor of (x-4)³ in the denominator
c. A factor of x² + 2x+6 in the denominator
a. When a proper rational function has factor of x-3 in the denominator, which of the following should appear in its partial fraction decomposition? Choose the correct answer below.
Ax
x-3
OA.
B.
C.
) D.
A
x-3
Ax
A
x-3' x-3
A₁
A₂
x-3' x-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F070e8b65-931e-44e7-bfb4-6d69e5ced655%2Fd15a77db-cee9-4f2c-b62d-6cdb7ce95dd6%2Fuzdtdoa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:What term(s) should appear in the partial fraction decomposition of a proper rational function with each of the following?
a. A factor of x-3 in the denominator
b. A factor of (x-4)³ in the denominator
c. A factor of x² + 2x+6 in the denominator
a. When a proper rational function has factor of x-3 in the denominator, which of the following should appear in its partial fraction decomposition? Choose the correct answer below.
Ax
x-3
OA.
B.
C.
) D.
A
x-3
Ax
A
x-3' x-3
A₁
A₂
x-3' x-3
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