# How do you write the remainder in synthetic division?

Oct 6, 2014

The remainder in synthetic division could be written as a fraction or with R written in front of it. If writing as a fraction, the remainder is in the numerator of the fraction and the divisor is in the denominator.

For example:

Dividing ${x}^{2} + 3 x - 12$ by $x - 3$:

When you use Synthetic Division, the answer is $x + 6$ with a remainder of 6.
Here are two ways you can write the answer:

1. x + 6 R 6

2. $x + 6 + \frac{6}{x - 3}$