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Mathematics
Problem
What must be subtracted from
x
4
+
2
x
3
−
2
x
2
+
4
x
+
6
x^4 + 2x^3 - 2x^2 + 4x + 6
x
4
+
2
x
3
−
2
x
2
+
4
x
+
6
so that the result is exactly divisible by
x
2
+
2
x
−
3
x^2 + 2x - 3
x
2
+
2
x
−
3
?
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