Let P(n)=n4+n2+1P(n) = n^4 + n^2 + 1P(n)=n4+n2+1. What is the gcd(P(n),P(n+1))\text{gcd}(P(n), P(n+1))gcd(P(n),P(n+1)) for all n≥1n \ge 1n≥1?
1
3
n2+n+1n^2+n+1n2+n+1
Depend on nnn