Synthetic Division Calculator
Perform synthetic division instantly using polynomial coefficients and a root.
Quotient Coefficients1, -1
Remainder0
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).