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  1. 홈
  2. 계산기
  3. 계산기: 대수학 I
  4. 대수 계산기

나머지 정리 계산기

나머지 정리를 단계별로 적용하세요

이 계산기는 나머지 정리(베주의 소정리)를 사용하여 $$$f(a)$$$를 계산하며, 단계도 함께 보여줍니다.

Enter a polynomial:

Enter the point `a`:

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Solution

Your input: find $$$f\left(3\right)$$$ for $$$f\left(x\right)=x^{3} - x^{2} + 2 x + 7$$$.

According to the remainder theorem, $$$f(a)$$$ is the remainder from dividing $$$f(x)$$$ by $$$x-a$$$.

Thus, to find $$$f\left(3\right)$$$, find the remainder from dividing $$$x^{3} - x^{2} + 2 x + 7$$$ by $$$x - 3$$$.

For this, use the synthetic division calculator.

The remainder is $$$31$$$, therefore, $$$f\left(3\right)=31$$$.

Answer: $$$f\left(3\right)=31$$$.


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