9. Show that n^2+ n + 1 is not divisible by5
for any n, where it is a natural number
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Answer:
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
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