Answer
The two factors of the polynomial can be multiplied together, and then the remainder is added. If the resulting polynomial is not the same as the polynomial originally, then there was a mistake.
Work Step by Step
Example: $x^2-6x-6$ divided by $x+2$ is $x-8+\frac{10}{x+2}$
$(x+2)(x-8)+(x+2)*\frac{10}{x+2}$
$x*x+x*-8+2*x+2*-8+10$
$x^2-8x+2x-16+10$
$x^2-6x-6$
