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masher2
@masher2
August 2022
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Запишите в таблицу ответов остаток от деления f(x^3) на f(x), если f(x)=x^2-x+1
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nafanya2014
Verified answer
F(x³)=(x³)²-x³+1=x⁶-x³+1
f(x³):f(x)=(x⁶-x³+1):(x²-x+1)=x⁴+x³-2x-2 ( ост 3)
Проверка
(х⁴+х³-2х-2)·(х²-х+1)+3=х⁶-x³+1
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Answers & Comments
Verified answer
F(x³)=(x³)²-x³+1=x⁶-x³+1f(x³):f(x)=(x⁶-x³+1):(x²-x+1)=x⁴+x³-2x-2 ( ост 3)
Проверка
(х⁴+х³-2х-2)·(х²-х+1)+3=х⁶-x³+1