Synthetic Division Calculator
Perform polynomial synthetic division step by step. Enter the coefficients of the polynomial and the root to get the quotient and remainder.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to use the Synthetic Division Calculator:
- Enter coefficients in the first field, separated by commas, starting with the highest degree term. Example: for
2x³ - 3x² + 0x + 5, enter2, -3, 0, 5. - Enter the root (c value) in the second field. This is the number you are dividing by (e.g., for dividing by
x - 2, enter2). - Click Calculate to see the quotient polynomial and remainder.
- Review the Steps section for a detailed breakdown of the synthetic division process.
Note: All inputs must be valid numbers. The calculator works for polynomials of any degree, but requires at least one coefficient.
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Frequently Asked Questions
Synthetic division is a shortcut method for dividing a polynomial by a linear factor of the form (x - c). It uses only the coefficients and is faster than long division.
Enter the coefficients of the polynomial in order from highest degree to constant term, separated by commas. For missing terms, use 0. For example, for 2x^3 - 3x^2 + 5, enter '2, -3, 0, 5'.
If the remainder is zero, then (x - c) is a factor of the polynomial. The quotient is the other factor.
