How do you write the remainder in synthetic division?

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How do you write the remainder in synthetic division?

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Answer 1 · 2014-10-06T00:05:49

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

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

x + 6 R 6
$x + 6 + \frac{6}{x - 3}$ $x + 6 + 6/(x - 3)$

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How do you write the remainder in synthetic division?

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