Remainder when x¹⁰⁰ is divided by x²-3x+2
1.2¹⁰⁰+1 × 2-2¹⁰⁰
2.2¹⁰⁰-1 × 2+2¹⁰⁰
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1. 2^100+1×2-2^100= (2-2)^100+1×2= 2
2. 2^100-1×2+2^100= (2+2)^100-1×2=4^100-2= 2^200-2= 2^199
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