# Find all integers n for which the number (n + 3)(n – 1) is also an integer.

Let n = 0

= (0 + 3)(0-1)

= (3)(-1)

= -3 which is also an integer

Let n = -1

= (-1 + 3)(-1-1)

= (2)(-2)

= -4 which is also an integer

Let n = 1

= (1 + 3)(1-1)

= (4)(0)

= 0, which is also an integer

Therefore, for any integer value of n the equation will result an integer.

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