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Math Help - polynomial factor

  1. #1
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    polynomial factor

    how do you factor a polynomial that has nth degrees
    Last edited by jojolikestars; November 20th 2008 at 05:21 PM.
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  2. #2
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    Quote Originally Posted by jojolikestars View Post
    factor given polynomial function in completly factored form involving complex non-real numbers.

    g(x)=x^4-2x^2-35
    Well, g(x) could initially be factored as:
    g(x) = (x^2 - 7)(x^2 + 5)

    The first term is factored as diff of squares:
    (x + sqrt(7))(x - sqrt(7))

    The second one involves i, or the sqrt(-1)
    (x + i*sqrt(5))(x - i*sqrt(5))

    When using foil, the last term would be:
    (i*sqrt(5))*(-i*sqrt(5))

    Group the terms:
    -i^2 * [sqrt(5)]^2
    -(-1)*5
    5 So, it checks out.

    The final polynomial is written as:
    g(x) = [x + sqrt(7)]*[x - sqrt(7)]*[x + i*sqrt(5)]*[x - i*sqrt(5)]

    Hope this helps
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