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Math Help - polynomials and synthetic division

  1. #1
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    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.
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  2. #2
    Junior Member astartleddeer's Avatar
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    Re: polynomials and synthetic division

    Yes.

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