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    Can someone explain to me what the factor theorem is.

    I heard that it something to do with :

    If (x-3)=0, than f(3)=0
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    Let f(x) be a polynomial. The factor theorem tells us that (x - a) divides f(x) (as polynomials, not as numbers!) if and only if f(a) = 0. For example:
    1. f(x) = x^2 - 3x + 2. f(1) = 0 and f(2) = 0, so (x - 1) and (x - 2) both divide f(x), and in fact as it turns out, f(x) = (x - 1)(x - 2).
    2. f(x) = x^2 + 1. We notice that for any real number a \in \mathbb{R}, f(a) \ne 0, so no polynomial of the form (x - a) divides f(x) at all.

    The factor theorem is a corollary of the remainder theorem.
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    (Original post by Zhen Lin)
    Let f(x) be a polynomial. The factor theorem tells us that (x - a) divides f(x) (as polynomials, not as numbers!) if and only if f(a) = 0. For example:
    1. f(x) = x^2 - 3x + 2. f(1) = 0 and f(2) = 0, so (x - 1) and (x - 2) both divide f(x), and in fact as it turns out, f(x) = (x - 1)(x - 2).
    2. f(x) = x^2 + 1. We notice that for any real number a \in \mathbb{R}, f(a) \ne 0, so no polynomial of the form (x - a) divides f(x) at all.

    The factor theorem is a corollary of the remainder theorem.
    Well, considering you have a BA from Cam ill take ur wrd for it
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