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Partial Fractions with Irreducible Quadratics
Worksheet
Grade Level
Calculus II
CAL2.38 Partial Fractions with Irreducible Quadratics
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A student writes A/(x
2
+ 4) + B/(x
2
+ 4)
2
for a repeated irreducible quadratic. What is the main issue?
A
The factor x
2
+ 4 should be split into x - 2 and x + 2.
B
Both numerators should be linear, so the form should be (Ax+B)/(x
2
+4)+(Cx+D)/(x
2
+4)
2
.
C
Only one term over (x
2
+4)
2
is needed.
D
The numerator over the first power must be quadratic.
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