Algebra Calculators
Polynomial Remainder Calculator
Divide a polynomial by (x − a) with synthetic division and get the remainder.
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What is Polynomial Remainder?
The remainder theorem says the remainder when P(x) is divided by (x − a) is exactly P(a). Synthetic division is the fast pencil-and-paper way to get both the quotient and that remainder in one pass.
How it works
The tool runs synthetic division on the polynomial's coefficients, returning the quotient polynomial and the remainder, then confirms it by evaluating P(a) directly. A zero remainder means (x − a) is a factor.
- Enter your input. Type or paste your input into the field above — the tool responds instantly.
- Review the result. Output updates live as you type. Everything runs entirely in your browser.
- Copy or download. Use the Copy button to grab the result, or Download to save it as a file.
Examples
Realistic sample
Type or paste any realistic input — the tool computes the result locally and instantly.
Common mistakes
Expecting a server round-trip
Nothing is uploaded — every tool in this category runs entirely in your browser.