When m¹² - 1 is divided by m + 1, the remainder is:

A. 1

B. 2

C. 0

D. -1

Answer: Option C

Solution(By Examveda Team)

m¹² - 1
= (m⁶)² - (1)²
= (m⁶ + 1)(m⁶ - 1)
= (m⁶ + 1){(m³)² - (1)²}
= (m⁶ + 1)(m³ - 1)(m³ + 1)
= (m⁶ + 1)(m³ - 1)(m + 1)(m² + m + 1)
Hence m + 1 is factor of m¹² - 1.
It will completely divide it and give remainder 0.