Nickname Theory: for any integer n, polynomial (4N * 2 + 5) * 2-9 can always be divided by 8

Nickname Theory: for any integer n, polynomial (4N * 2 + 5) * 2-9 can always be divided by 8

incorrect
Because 4N * 2 + 5) * 2-9 divided by 8 equals
2n+1/8
When n = 1, the result is 2 + 1 / 8, not an integer

For any integer n, the quadratic power - 49 of polynomial (4N + 3) can be divided by - a.16, B.9, c.8 and d.6

The second power of (49 + 3) - 4N
16n^2+24n+9-49
=16n^2+24n-40
=8(2n^2+3n-5)
There is a common factor 8
So choose C

If n is an integer, try to show that (4N-1) (4N + 1) - 39 can be divided by 8

The original formula = 16nxn-40, 16 can be divided by 8, 40 can be divided by 8, and N is an integer, so the original formula can be divided by 8