Synthetic Division Calculator
Simplify polynomial division with our intuitive synthetic division tool. Enter your polynomial coefficients and divisor to get instant results.
Enter Polynomial and Divisor
Enter the coefficients of the polynomial separated by commas (e.g., 1, -3, 2 for x² - 3x + 2) and the value of 'a' for the divisor (x - a).
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About Synthetic Division
Synthetic division is a shorthand method of polynomial division in the special case of dividing by a linear factor of the form (x - a). It's more efficient than long division for linear divisors. To use this calculator, enter the coefficients of the polynomial you wish to divide, separated by commas. For example, for the polynomial x³ - 6x² + 11x - 6, you would enter "1, -6, 11, -6". Then, enter the value of 'a' from your divisor (x - a). For instance, if dividing by (x - 2), enter "2". The calculator will then compute and display the quotient coefficients and the remainder. This tool is helpful for factoring polynomials, finding roots, and simplifying algebraic expressions.