Find the remainder when P(x)=x2025P(x) = x^{2025}P(x)=x2025 is divided by x2−3x+2x^2 - 3x + 2x2−3x+2.
(22025−1)x+2−22025(2^{2025}-1)x + 2 - 2^{2025}(22025−1)x+2−22025
(22025−1)x+22025−2(2^{2025}-1)x + 2^{2025}-2(22025−1)x+22025−2
22025x−12^{2025}x - 122025x−1
x+22025x + 2^{2025}x+22025