Synthetic Division Calculator
Perform synthetic division instantly using polynomial coefficients and a root.
What is Synthetic Division?
Synthetic division is a shorthand method of dividing polynomials where you divide by a linear factor of the form (x - c). It is much faster than long division because it omits the variables and only calculates using the coefficients.
How to use the coefficients
You must enter the coefficients in descending order of power. If your polynomial is missing a power of x (e.g., x³ + 4), you must insert a zero for the missing terms (1, 0, 0, 4).
Frequently Asked Questions
Can I use synthetic division for non-linear denominators?
No, standard synthetic division only works when dividing by a linear binomial (x - c).
Disclaimer: This calculator is for educational and learning purposes only. While we strive for accuracy, calculations are provided "as-is" without warranty. The accuracy of results depends on the accuracy of input data provided. Always verify important calculations independently. For critical applications or when accuracy is essential, consult with appropriate professionals or use verified reference sources. Educational calculators may contain rounding or approximations.