Determine the remainder when P(x)=x2025+x2024+⋯+x+1P(x) = x^{2025} + x^{2024} + \dots + x + 1P(x)=x2025+x2024+⋯+x+1 is divided by x2+x+1x^2 + x + 1x2+x+1.
111
x+1x+1x+1
000
xxx