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Консультация № 189757
10.09.2016, 21:47
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Уважаемые эксперты! Пожалуйста, помогите с решением задачи № 6 :
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Обсуждение
12.09.2016, 09:13
общий
это ответ
Здравствуйте, anton74551!
Пусть многочлен P(x) при делении на (x-a)(x-b) дает в остатке число C3.
Это значит, что
P(x) = Q(x)*(x-a)(x-b) + C3, где Q(x) - многочлен, степень которого ниже на 2.
Отсюда видно, что остаток C3 получается при делении P(x) как на (x-a),
так и на (x-b). Поэтому С1 = С2 = С3.
Пусть многочлен P(x) при делении на (x-a)(x-b) дает в остатке число C3.
Это значит, что
P(x) = Q(x)*(x-a)(x-b) + C3, где Q(x) - многочлен, степень которого ниже на 2.
Отсюда видно, что остаток C3 получается при делении P(x) как на (x-a),
так и на (x-b). Поэтому С1 = С2 = С3.
Кроме того, 
Тогда при 
получим 
и при 
получим 
Следовательно, 
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