Question

show that n square + n + 1 is not divisible by 5 for any n .where n is any integer

Answer 1

p(x) = n² +n + 1
Let n =1
1² + 1 + 1 = 3
Let n = 2
2² + 2 + 1 = 4 + 2 + 1 = 7
So, n² + n + 1 is not equal to 5

Answer 2

above written method is Correct