Synthetic Division Calculator

Connected algebra workflow

v10.89 connects equations, inequalities, quadratics, polynomials, matrices, ratios, coordinate forms, exponents and logarithms while preserving the established historical calculation engines.

Transform, then verify

Equivalent forms should agree. Use discriminants, roots, factoring, vertex form, substitution, matrix checks, or the Remainder Theorem where appropriate to verify the result rather than relying on a single opaque output.

How to use this Synthetic Division Calculator

Divide a polynomial by x − r using synthetic division.

1. Enter, paste, upload, or choose the inputs shown in the tool above.
2. Adjust the available options for the result you need.
3. Review the output before copying, downloading, or using it elsewhere.

What this tool does

Enter polynomial coefficients and r to calculate the quotient, remainder, and synthetic row for division by x − r.

Practical tips and limits

Review the inputs and result before using the output elsewhere. Keep the original data when the operation changes or replaces content.