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Math Help - Factor theorem.

  1. #1
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    Question Factor theorem.

    Factor theorem.


    If you have a question like

    Find the remainder of
    x^{2}+2x-8 when the polynomial is divided by the factor x-1
    so values of x=1
    so the answer is -5,

    my question is, if the factor x-1 is in a bracket does it change the sign?
    so would x= 1? or -1? if the factor was written as (x-1)?

    thanks.
    Last edited by brentwoodbc; January 19th 2009 at 01:18 PM.
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  2. #2
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    Quote Originally Posted by brentwoodbc View Post
    Factor theorem.


    If you have a question like

    Find the remainder of
    x^{2}+2x-8 when the polynomial is divided by the factor x-1
    so values of x=1
    so the answer is -5,

    my question is, if the factor x-1 is in a bracket does it change the sign?
    so would = 1? or -1? if the factor was written as (x-1)?

    thanks.
    Even though it is written as the factor x-1, it really meant the factor (x-1).

    So to answer your question, it does not change the sign.
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  3. #3
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    thanks because there was a question on a test and it gave three polynomials and three factors and you had to match them so there was a remainder of 0, and I tried both ways +/- and it only worked as if there where no brackets so your answer makes sense. I just wanted to clarify for piece of mind.
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