➗ 综合除法计算器Synthetic Division Calculator
用综合除法把多项式除以 (x − r)，给出商式、余数和完整的综合除法表（余数定理）。Divide a polynomial by (x − r) with synthetic division: quotient, remainder and the full working table (remainder theorem).
使用说明与常见问题How-to & FAQ
「综合除法计算器」是什么？What is the Synthetic Division Calculator tool?
用综合除法把多项式除以 (x − r)，给出商式、余数和完整的综合除法表（余数定理）。Divide a polynomial by (x − r) with synthetic division: quotient, remainder and the full working table (remainder theorem).
如何使用「综合除法计算器」？How do I use the Synthetic Division Calculator tool?
在「综合除法计算器」中，填写「多项式系数（从最高次到常数项，缺项填 0）」、「除式 x − r 中的 r」等参数，结果会随输入实时计算并显示在下方。In the Synthetic Division Calculator: Fill in "Coefficients (highest degree first; use 0 for missing terms)", "r in (x − r)"; results are recalculated instantly as you type.
开头的 0 系数和常数多项式怎么处理？What about leading zeros and constant polynomials?
开头的 0 系数会被自动去掉（如 0 1 −6 视为 x − 6），结果中会注明。只输入一个常数 c 时，商为 0、余数为 c。Leading zero coefficients are removed automatically (0 1 −6 is treated as x − 6) and the result says so. A single constant c gives quotient 0 and remainder c.
计算精度如何？How precise are the results?
「综合除法计算器」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Synthetic Division Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「综合除法计算器」免费吗？需要注册吗？Is the Synthetic Division Calculator free? Do I need an account?
「综合除法计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Synthetic Division Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.