polynomials and synthetic division

Hi;

I know how to do synthetic division but I need to clear something up.

If the poly is being divided by say (x-4) should I use +4 in synthetic division

and if that divisor was (x+4) should I use -4 because swapping the signs makes things add up.

and is this always the case ie just swap signs and things work out?

Thanks.

Re: polynomials and synthetic division

Yes.

If $\displaystyle x=a $ then $\displaystyle (x - a) $ is a factor of the polynomial. Conversely, if $\displaystyle x= (-a) $ then $\displaystyle (x + a) $ is a factor of the polynomial.