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For any integer k k2 2k 3 is even if and only if 4

For any integer, k, k^2 + 2k + 3 is even if and only if 4 divides k^2 -2k-7. (Note: You may use a fact, we may not yet have proven in class, namely, if 2 divides n^2 for some integer n, then 4 divides n^2. Simply cite this as, "a fact about squares of integers that are even.")

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