Using Linear Partial Fractions
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the first step in decomposing a rational function into partial fractions?
QUESTION
Determine the partial fractions for
8
x
x
2
−
2
x
\frac{8x}{x^2-2x}
x
2
−
2
x
8
x
.
QUESTION
What is the result of using partial fractions on
1
(
x
+
1
)
2
\frac{1}{(x+1)^2}
(
x
+
1
)
2
1
?
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ANSWER
A
x
+
1
+
B
(
x
+
1
)
2
\frac{A}{x+1} + \frac{B}{(x+1)^2}
x
+
1
A
+
(
x
+
1
)
2
B
. Repeated factor already factored, so direct decomposition.
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