Определить, при каких значениях a и b многочлен x^3+ax^2+2x+b делится на x^2+x+1. Created by angelcat99. algebra-ru

делим :(x³+ax²+2x+b) / (x²+x+1)x³+x² +x x+(a-1)(a-1)x²+x+b(a-1)x²+(a-1)x+(a-1)х(2-a)+b-a+1 остаток должен = 0х(2-а) =0b-a+1=0{2-a = 0{b-a+1=0a=2 b=1x³+2x²+2x+1= (x+1)(x²+x+1) Реклама Реклама Новые вопросы в Алгебра укажи точки которые предадлежат графику функции y=√2x+1-7 Определите область значения функции и т.д. Подайте у вигляді дробу вирази:ПЖ СРОЧНО ❗ Нужен ответ на 2, 4 и 6 пример❗❗ ПОМОГИТЕ ПОЖАЛУЙСТА Помоги решить пожалуйста Плз срочно заранее спасибо ПОМОГИТЕ ПОЖАЛУЙСТА ПОМОГИТЕ ПОЖАЛУЙСТА Вычеслите:ПОМОГИТЕ ПОЖАЛУЙСТА УМОЛЯЮ СРОЧНО НУЖНО СОЯ АЛГЕБРА 9 КЛАСС 2,3,4,5,6 УМОЛЯЮ ЛЮДИ СРОЧНО НУЖНО, ЧТО СМОЖЕТЕ РЕШИТЕ 20 БАЛЛОВ Предыдущий Следующий Реклама - это не так уж плохо Реклама - это не так уж плохо Понимаем - вы пришли сюда не за рекламой. Но она помогает нам предоставлять бесплатный доступ к Знаниям. Пожалуйста, внесите наш сайт в список разрешенных. ОК, разблокирую рекламу на Знаниях! Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . 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Определить, при каких значениях a и b многочлен x^3+ax^2+2x+b делится на x^2+x+1...

angelcat99 @angelcat99

October 2021 1 41 Report

Определить, при каких значениях a и b многочлен x^3+ax^2+2x+b делится на x^2+x+1

Answers & Comments

konik1 делим :
(x³+ax²+2x+b) / (x²+x+1)
x³+x² +x x+(a-1)
(a-1)x²+x+b
(a-1)x²+(a-1)x+(a-1)
х(2-a)+b-a+1 остаток должен = 0
х(2-а) =0
b-a+1=0
{2-a = 0
{b-a+1=0
a=2 b=1
x³+2x²+2x+1= (x+1)(x²+x+1)