Synthetic Division Calculator

Divide a polynomial by x - c using synthetic division

Synthetic Division Rule

Synthetic division is a compact shortcut for dividing a polynomial by a linear factor of the form x-c. It uses only the polynomial coefficients, so the written work is shorter than full polynomial long division. The process begins by bringing down the leading coefficient, then repeatedly multiplying by c and adding the next coefficient. The final number is the remainder, and the earlier numbers form the quotient coefficients.

What Is Synthetic Division?

Synthetic division is a shortened version of polynomial long division for divisors like x-c. Instead of writing variables at every step, it works only with coefficients, making the process faster and less error-prone.

Applications of Synthetic Division

Frequently Asked Questions