Solution: 2013-23 Polynomials with rational zeros

Find all polynomials \( P(x) = a_n x^n + \cdots + a_1 x + a_0 \) satisfying (i) \( a_n \neq 0 \), (ii) \( (a_0, a_1, \cdots, a_n) \) is a permutation of \( (0, 1, \cdots, n) \), and (iii) all zeros of \( P(x) \) are rational.

The best solution was submitted by 전한솔. Congratulations!

Similar solutions are submitted by 김호진(+3), 박민재(+3), 엄태현(+3), 정성진(+3), 진우영(+3), 한대진(+3). Thank you for your participation.

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2 thoughts on “Solution: 2013-23 Polynomials with rational zeros

  1. Ji Oon Lee Post author

    2013년 POW는 2013-23으로 마무리되었습니다. 공지가 늦어진 점 양해 부탁드립니다.

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