Determine the remainder when P(x)=x2025+2x2024+3P(x) = x^{2025} + 2x^{2024} + 3P(x)=x2025+2x2024+3 is divided by x2+x+1x^2 + x + 1x2+x+1.
x+2x + 2x+2
2x+42x + 42x+4
x+4x + 4x+4
2x+22x + 22x+2