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Find the remainder when the polynomial x^1000 is divided by the polynomial (x^2 + 1)(x + 1).

 

 

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 Dec 7, 2019
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Using the multi-Factor Theorem for repeated roots, the remainder when x^{1000} is divided by (x^2 + 1)(x + 1) is 2x - 3.

 Dec 8, 2019

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