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Многочлены. Теорема Безу.

Authored by Nadezhda Yegorkina

Mathematics

11th - 12th Grade

Used 11+ times

Многочлены. Теорема Безу.
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7 questions

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1.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Дан многочлен  P(x)=x52x3+4x27x+5P\left(x\right)=x^5-2x^3+4x^2-7x+5 . Найдите  P(1)P\left(-1\right)  .

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Укажите степень многочлена  P(x)=(x32x+1)17+(x5x+1)12P\left(x\right)=\left(x^3-2x+1\right)^{17}+\left(x^5-x+1\right)^{12}  

3.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Найдите свободный член многочлена  P(x)=(x32x+1)17+(x5x+1)12P\left(x\right)=\left(x^3-2x+1\right)^{17}+\left(x^5-x+1\right)^{12}  

4.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Найдите сумму коэффициентов многочлена  P(x)=(x32x+1)17+(x5x+1)12P\left(x\right)=\left(x^3-2x+1\right)^{17}+\left(x^5-x+1\right)^{12}  

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Найдите остаток от деления многочлена  P(x)=x53x4+2x7P\left(x\right)=x^5-3x^4+2x-7  на двучлен  x1x-1  

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Найдите остаток от деления многочлена  P(x)=x216+x36+x66P\left(x\right)=x^{216}+x^{36}+x^6-6  на двучлен  x+1x+1  

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

При каких значениях  aa  многочлен  P(x)=x2021+ax5P\left(x\right)=x^{2021}+ax-5  делится на двучлен  x+1x+1  

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