A theorem of Pólya on polynomials

TODO

• Theorem 1
• Theorem 2
• Chebyschev's Theorem
• Corollary
  • proof
• Proof of Theorem 2
• Two facts about polynomials with real roots
• Appendix: Chebyshev's theorem
  • proof
    • (A)
    • (B)
    • proof of (A)
    • proof of (B)