Which of the following equations describes the partial fraction decomposition of a rational function x²+2x+3 of the form (x-)²(x-2)(x²+4) 1²+2x+3 A Dz+ E a B (x-1)² (x − 1)²(x − 2)(x²+4) - 1²+2x+3 A B D b (z − 1)²(x − 2)(x² + 4) x² +4 - 1²+2x+3 A E (x − 1)²(x − 2)(x²+4) 1² +4 C Dr 1²+2x+3 (r-1)²(x-2)(x² + 4) + -2 ²+4 d || = A I-1 + + + (I. Br+C (x − 1)² B (x-1)² D +P -2

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
Section: Chapter Questions
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10. Which of the following equations describes the partial fraction decomposition of a rational function
of the form
x²+2x+3
(x-)²(x-2)(x²+4)*
1²+2x+3
Da + E
a
=æ+
B
(x-1)²
+
(x-1)²(x-2)(x²+4)
x²+4
1²+2x+3
-A₁+
=
B
(x-1)²
+
+2=2+2+4
(x − 1)²(x − 2)(x²+4)
1²+2x+3
D
E
+
Br+C
(x-1)²
(x− 1)²(x − 2)(x²+4)
1² +4
1²+2x+3
B
Dr
(x − 1)²(x − 2)(x² + 4)
(x-1)² +2₂2 +
²+4
-
b
C
d
-A
+
Transcribed Image Text:10. Which of the following equations describes the partial fraction decomposition of a rational function of the form x²+2x+3 (x-)²(x-2)(x²+4)* 1²+2x+3 Da + E a =æ+ B (x-1)² + (x-1)²(x-2)(x²+4) x²+4 1²+2x+3 -A₁+ = B (x-1)² + +2=2+2+4 (x − 1)²(x − 2)(x²+4) 1²+2x+3 D E + Br+C (x-1)² (x− 1)²(x − 2)(x²+4) 1² +4 1²+2x+3 B Dr (x − 1)²(x − 2)(x² + 4) (x-1)² +2₂2 + ²+4 - b C d -A +
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