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Math Help - Polynomial Division

  1. #1
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    Polynomial Division

    if a is in Q how would i show that f(a) is the remainder after dividing the polynomial f(x) by (x-a)?
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  2. #2
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    Quote Originally Posted by stephanderson View Post
    if a is in Q how would i show that f(a) is the remainder after dividing the polynomial f(x) by (x-a)?
    If [LaTeX ERROR: Convert failed] is a polynomial of degree  n in x, dividing by (x-a) leaves a quotient G(x) of degree n-1 with remainder R (a constant). That is [LaTeX ERROR: Convert failed] . If you put x = a, you will get f(a) = R.
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