Synthetic Division Calculator

Synthetic division is a shortcut for dividing a polynomial, \(P(x)\), by a linear factor of the form \(D(x) = x-c\).

The Division Formula:

Where \(Q(x)\) is the quotient and \(R(x)\) is the remainder.

Steps:

1. Write the value of \(c\) (the root from the divisor \(x-c\)) and the coefficients of the polynomial in a row.
2. Bring down the first coefficient.
3. Multiply the number you just brought down by \(c\) and write the result under the next coefficient.
4. Add the numbers in the new column.
5. Repeat steps 3 and 4 until you reach the end.

The numbers in the bottom row are the coefficients of the quotient, and the very last number is the remainder.