Correct option is C

Given:

We are asked to find the remainder when m^{12} - 1 is divided by m + 1.

Formula Used:

We can apply the Remainder Theorem. According to this theorem, when a polynomial f(m) is divided by m + 1, the remainder is the value of f(m) when m = -1.

Solution:

Let $$f(m) = m^{12} - 1.$$​​

Using the Remainder Theorem, we need to find f(-1).

​$$f(-1) = (-1)^{12} - 1$$​​

= 1 - 1 = 0

Thus, the remainder is 0.