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Консультация № 193634
01.10.2018, 18:58
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом: Найти линейную форму НОД многочленов
f(x)=2x^6-17x^5+14x^4+61x^3-44x^2-51x-4 g(x)=2x^5-13x^4-12x^3+33x^2+20x-1
f(x)=2x^6-17x^5+14x^4+61x^3-44x^2-51x-4 g(x)=2x^5-13x^4-12x^3+33x^2+20x-1
Обсуждение
04.10.2018, 07:21
общий
Адресаты:
Сообщите, пожалуйста, какие сложности у Вас возникли?
Об авторе:
Facta loquuntur.
Facta loquuntur.
07.10.2018, 08:16
общий
это ответ
Здравствуйте, zagadka.ru!
Пусть даны многочлены
и требуется вычислить их наибольший общий делитель --
а также установить его линейное представление.
Предположим, что имеется в виду кольцо
Следуя алгоритму Евклида, получим
Следовательно,
Двигаясь в алгоритме Евклида снизу вверх и последовательно заменяя остатки, получим
Пусть даны многочлены
и требуется вычислить их наибольший общий делитель --
а также установить его линейное представление. Предположим, что имеется в виду кольцо
Следуя алгоритму Евклида, получимСледовательно,
Двигаясь в алгоритме Евклида снизу вверх и последовательно заменяя остатки, получим
Об авторе:
Facta loquuntur.
Facta loquuntur.
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