Find the remainder when the polynomial $x^{1000}$ is divided by the polynomial $(x^2 + 1)(x + 1).$
Question:
Find the remainder when the polynomial $x^{1000}$ is divided by the polynomial $(x^2 + 1)(x + 1).$
Answer:
Let's think step by step.

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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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