Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (x³ – 4x²)(x² – 3x + 2)(x² + 1) is equal to - Fx+G A B C DE x' x+1x-2'x+2' (x+2)2 x2+1 Fx+G + x-4 x-1 х-2 x2+1

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.4: Partial Fractions
Problem 3SE: Can you explain how to verify a partial fraction decomposition graphically?
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Without evaluating the constants,
the partial fraction decomposition for
5x2 – 3
f(x)
(x3 — 4x2)(x2 — 3х + 2)(x2 + 1)
is equal to
B
Fx+G
D.
E
Fx+G
x+1
X-2
X+2
(x+2)2
x2+1
X-4
X-1
x-2
x2+1
the above
the above
D
F
+
A
B
C
E
Fx+G
X-2
(х-2)2
x2+1
X-1
x+2
X-2
(х-2)2
x2+1
the above
the above
+
Transcribed Image Text:Without evaluating the constants, the partial fraction decomposition for 5x2 – 3 f(x) (x3 — 4x2)(x2 — 3х + 2)(x2 + 1) is equal to B Fx+G D. E Fx+G x+1 X-2 X+2 (x+2)2 x2+1 X-4 X-1 x-2 x2+1 the above the above D F + A B C E Fx+G X-2 (х-2)2 x2+1 X-1 x+2 X-2 (х-2)2 x2+1 the above the above +
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