Find the remainder when x^100 is divided by x^2-3x+2
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If you do the division step by step you will find that the quotient and reminder will be these values. At the first division n = 0, and next division it is 1 and so on. The reminder is obtained when n=99 and after 99 successive divisions, until the reminder polynomial has an order of 1.
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The above explanation is exactly correct.
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