Determine the remainder when x2025x^{2025}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
22025x−220252^{2025}x - 2^{2025}22025x−22025
x+1x+1x+1
x−1x-1x−1