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Mathematics
Problem
Explain why the polynomial
x
2
+
4
x
+
3
x^2 + 4x + 3
x
2
+
4
x
+
3
can be factorised over the integers, whereas the polynomial
x
2
+
4
x
+
5
x^2 + 4x + 5
x
2
+
4
x
+
5
cannot.
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