For Exercises 5-20, set up the form for the partial fraction decomposition. Do not solve for A , B , C , and so on. (See Example 1-2) 6 x 4 − 5 x 3 + 2 x 2 − 5 ( x − 3 ) ( 2 x + 9 ) 2 ( x 2 + 1 ) 2
For Exercises 5-20, set up the form for the partial fraction decomposition. Do not solve for A , B , C , and so on. (See Example 1-2) 6 x 4 − 5 x 3 + 2 x 2 − 5 ( x − 3 ) ( 2 x + 9 ) 2 ( x 2 + 1 ) 2
Solution Summary: The author explains how to calculate the partial tion decomposition of the tion 6x45.
Write the partial fraction decomposition for the rational expression. Check your result algebraically.
1
25x2 - 64
Step 1
Decompose the original expression into a sum of fractions involving the constants A and B by factoring the
denominator of the original expression.
A
25x2 - 64
8
+
X -
Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.
x² – 9x + 20
7x +19x?
A
9x3
19x2
7x +19
B
+
7x2 + 19
B
7x + 19
B
7x3 + 19x?
В
C
+
x2 - 9x + 20
7x2+19
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