# 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.