What is the remainder when x100x^{100}x100 is divided by x2−5x+6x^2 - 5x + 6x2−5x+6?
(2100−3100)x+3⋅2100−2⋅3100(2^{100}-3^{100})x + 3 \cdot 2^{100} - 2 \cdot 3^{100}(2100−3100)x+3⋅2100−2⋅3100
(3100−2100)x+2⋅3100−3⋅2100(3^{100}-2^{100})x + 2 \cdot 3^{100} - 3 \cdot 2^{100}(3100−2100)x+2⋅3100−3⋅2100
(2100−3100)x+3100−2100(2^{100}-3^{100})x + 3^{100} - 2^{100}(2100−3100)x+3100−2100
2100x+31002^{100}x + 3^{100}2100x+3100