For positive integer \(k\), is the expression

[VJesus12]

For positive integer \(k\), is the expression \((k + 2)(k^2 + 4k + 3)\) divisible by \(4?\)

(1) \(k\) is divisible by \(8.\)
(2) \(\dfrac{k + 1}3\) is an odd integer.

[spoiler]OA=A[/spoiler]

Source: Manhattan GMAT