Question

How do you write the remainder in synthetic division?

Answer 1

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 + 3x - 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 + 6/(x - 3)`