Albatta, uni yanada soddalashtirishga harakat qilaman. Algebraning fundamental teoremasi bizga shuni aytadiki, murakkab koeffitsiyentli har bir ko'phadning kamida bitta murakkab ildizi bor. Buni isbotlash uchun biz ko'rsatamizki, agar ko'phadning murakkab ildizi bo'lmasa, u holda uni haqiqiy koeffitsiyentli chiziqli ko'phadlarning ko'paytmasiga ko'paytish mumkin. Bu shuni anglatadiki, har bir ko'phad chiziqli ko'phadlarning ko'paytmasiga ko'paytishi mumkin. Murakkab konjugat teoremasi shuni ko'rsatadiki, agar haqiqiy ko'paytmali ko'phadli ko'phadli ko'phad murakkab ildizga ega bo'lsa, uning konjugati ham ildizdir
spam fails_task lang_mismatch pii not_appropriate hate_speech sexual_content quality toxicity humor helpfulness creativity violence