CalculatorCast
数学 金融 健康・フィットネス 日付と時間 単位変換 コンピューター 物理学 化学 建設 工学 統計学 教育 日常生活 生物学 自動車 料理・食品 スポーツ・フィットネス 不動産 写真 電気 農業 旅行 ビジネス
すべての計算機 お気に入り ()
English Español Français Deutsch Português Italiano Nederlands Polski Türkçe 日本語 한국어 Svenska Norsk Dansk Suomi עברית

剰余の定理計算機

剰余の定理を用いて多項式の除法の余りを求めます。

はじめに

Remainder Theorem Calculator — Find the remainder of a polynomial division using the remainder theorem. Enter Coefficients (highest degree first, comma separated), r to get an instant, accurate result.

計算式

By the remainder theorem, the remainder of polynomial p(x) divided by (x − r) equals p(r), computed directly via synthetic evaluation of the coefficients at r.

ステップごとの説明

  1. Enter the Coefficients (highest degree first, comma separated).
  2. Enter the r.
  3. Click Calculate to see your result instantly.

実例

Example: With Coefficients (highest degree first, comma separated) = 1, -3, 2, r = 2, the Remainder Theorem Calculator gives Remainder: 0.

よくある質問

How is this different from long division?
The remainder theorem lets you find just the remainder by evaluating the polynomial at r, without performing the full division.
What does a remainder of 0 mean?
It means (x − r) is a factor of the polynomial, i.e. r is a root.
What inputs does the Remainder Theorem Calculator need?
You'll need to provide: Coefficients (highest degree first, comma separated), r. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Remainder Theorem Calculator?
The Remainder Theorem Calculator applies the formula exactly as calculated — By the remainder theorem, the remainder of polynomial p(x) divided by (x − r) equals p(r), computed directly via synthetic evaluation of the coefficients at r. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Remainder Theorem Calculator free to use?
Yes, the Remainder Theorem Calculator is completely free, requires no signup, and runs instantly in your browser.

剰余の定理計算機について

The Remainder Theorem Calculator uses a real, verifiable formula — By the remainder theorem, the remainder of polynomial p(x) divided by (x − r) equals p(r), computed directly via synthetic evaluation of the coefficients at r. — so results are accurate every time, not an approximation.