What is the Synthetic Division Calculator?
An online LeCalculators tool that helps you divide a polynomial by (x − r) using synthetic division.
Synthetic Division Calculator
Enter coefficients high-to-low and the root r for divisor (x − r).
Enter values
Fill in the fields below, then select Calculate.
About this calculator
How to use Synthetic Division Calculator, plus the formulas and logic behind the results.
Tool description
Divide a polynomial by (x − r) using synthetic division.
How to use
- Review the input fields and required units.
- Enter the known values for this problem.
- Select Calculate to view results.
- Adjust inputs and recalculate as needed.
Formulas & reference
Bring down, multiply by r, add across
Algebra tips
- Double-check units and variable meanings on the form labels.
- Undefined operations (divide by zero, even roots of negatives) return errors.
- Use Clear to restore sample values.
Calculation logic
Validates inputs, applies the standard formula(s) for the synthetic division calculator, and formats numeric results.
Educational calculator. Floating-point rounding may differ slightly from hand work.
Synthetic Division Calculator FAQ
Common questions about this calculator and how to use the results.
Can I use decimals?
Yes—most numeric fields accept decimals. Integer-only fields are labeled.
Why did I get an error?
Common causes are division by zero, empty lists, or values outside the stated domain.
Are answers exact?
Integer and fraction results stay exact when possible; otherwise values are rounded for display.
Is this free?
Yes. LeCalculators algebra tools are free to use in your browser.
Can I use this for homework?
Yes for checking work—still show your own steps when required.