Synthetic Division Calculator

What is Synthetic Division Calculator?

The Synthetic Division Calculator is a tool used to divide polynomials in a simplified and efficient manner. It eliminates the need for long division, making it particularly useful when dividing by a linear polynomial. By using synthetic division, you can quickly find the quotient and remainder, which are vital in algebraic calculations. This method is especially helpful for finding roots and testing possible solutions for polynomial equations. It streamlines calculations, saves time, and reduces errors compared to traditional methods. Use this tool to simplify complex polynomial divisions with ease and accuracy.

Formula of Synthetic Division

The formula used in synthetic division involves reducing the coefficients of a polynomial while considering the divisor. If dividing P(x) by (x - c), the formula is based on repetitive multiplication and addition: bₙ = aₙ + c * bₙ₋₁, where aₙ are the original coefficients, and bₙ are the resultant coefficients.

How to Use Synthetic Division Calculator?

To use this calculator, follow these steps:

1. Enter the coefficients of the polynomial in the input field, separating them by commas (e.g., 4, -3, 0, 1).
2. Enter the divisor's constant (c) for (x - c).
3. Click the "Calculate" button to compute the result.
4. The quotient and remainder will be displayed in a table below.
5. Use the "Clear" button to reset the fields for a new calculation.

Calculate

Quotient	Remainder