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Mathematics
Problem
Explain in one clear sentence why partial fraction decomposition cannot be carried out directly on
7
x
2
+
4
x
+
9
x
2
+
1
\dfrac{7x^{2}+4x+9}{x^{2}+1}
x
2
+
1
7
x
2
+
4
x
+
9
.
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