Let f(x) = x2(x + 2) + x + 3. Then which of the following is incorrect.
1
f(-3 - k) < 0 and f(-2 + k) > 0 for all k > 0
2
f(-3 - k) > 0 and f(-2 + k) < 0 for all k > 0
3
f(x) = 0 has a root α such that [α] + 3 = 0, where [α] is the greatest integer less than or equal to α
4
f(x) = 0 has exactly one root α such that (α) such that (α) + 2 = 0, where (α) is the smallest integer greater than or equal to α