If n is an integer, when (2n + 2)² is divided by 4 the remainder is
2023
If n is an integer, when (2n + 2)² is divided by 4 the remainder is
- A.
zero
- B.
3
- C.
5
- D.
1
Attempted by 3 students.
Show answer & explanation
Correct answer: A
Solution:
Expand the square: (2n + 2)^2 = 4n^2 + 8n + 4.
Factor out 4: 4n^2 + 8n + 4 = 4(n^2 + 2n + 1) = 4(n + 1)^2.
Since the expression equals 4 times an integer, it is divisible by 4. Therefore the remainder when dividing by 4 is 0.