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    Hi all,

    Just found this question, which I am unsure of how to approach. Any help would be much appreciated

    ---------
    QUESTION

    f(x) = (x-3)(x+1)g(x) - 2x + 5
    Find the remainder when [f(x )]^2 is divided by (x - 3)(x + 1)

    ----

    Apparently the answer is -12x + 37, but how do you get it?


    Thanks for any replies,

    asv
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    The remainder when f(x) is divided by (x - 3)(x + 1) is (5-2x). So the remainder when [f(x)]^2 is divided by (x - 3)(x + 1) is (5-2x)^2. However, (5-2x)^2 can still divide (x - 3)(x + 1). So, to find the final remainder:
    (5-2x)^2/(x - 3)(x + 1) => r = -12x+37
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    (Original post by dvs)
    The remainder when f(x) is divided by (x - 3)(x + 1) is (5-2x). So the remainder when [f(x)]^2 is divided by (x - 3)(x + 1) is (5-2x)^2. However, (5-2x)^2 can still divide (x - 3)(x + 1). So, to find the final remainder:
    (5-2x)^2/(x - 3)(x + 1) => r = -12x+37
    Thanks!
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    which paper is that????

    i hope its before 2001!
 
 
 
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Updated: June 26, 2005
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