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Synthetic division

  1. Jan 14, 2009 #1
    so synthetic division can be used to divide polynomials by monomials. is there a to divide by
    ax-b as opposed to x-b? ax^2-b? is there a general rule?
    thanks.
    or does one have to revert to polynomial long division.
     
  2. jcsd
  3. Jan 15, 2009 #2

    HallsofIvy

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    "Synthetic division" is used specifically to divide a polynomial by "x- a" for some number a. That is a very important special case since it is so often important to find all roots of a polynomial equation and dividing by x-a when a is a root you have already found reduces the equation.

    Of course, you can use regular algebraic division if the divisor is something like 3x- 2 or [itex]x^2+ 4x- 3[/itex].
     
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