# Problem 1

### The polynomial $$x^7+x^2+1$$ is divisible by

•  $$x^5-x^4+x^2-x+1$$
•  $$x^5-x^4+x^2+1$$
• $$x^5+x^4+x^2+x+1$$
• $$x^5-x^4+x^2+x+1$$

If you find an alternative solution or approach, mention it in the comments. We would love to hear something different from you.

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