How it works
Synthetic division divides a polynomial by x−r. Bring down the first coefficient, then repeatedly multiply by r and add.
Input definitions
- Coefficients in descending powers
- Plain text; maximum 200,000 characters.
- Divisor x minus this value
- Enter the value in the labeled unit.
A worked example
- Coefficients in descending powers
- 1,-3,2
- Divisor x minus this value
- 1
Assumptions & limits
Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.
Sources & review
Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.
Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.
Common questions
What does a zero remainder tell me?
The supplied value r is a root of the polynomial and x−r is a factor. Floating-point rounding can leave a small residual.
How does Polynomial synthetic division work?
Synthetic division divides a polynomial by x−r. Bring down the first coefficient, then repeatedly multiply by r and add.
What should I check before using Polynomial synthetic division?
Uses the units and scope stated in the input labels. Results are rounded for display; verify the model is appropriate for your situation.