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Math Help - [SOLVED] factorising quadratics

  1. #1
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    [SOLVED] factorising quadratics

    factorize
    xsquared-x-6.
    how do u do this?
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  2. #2
    Senior Member Peritus's Avatar
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    well you can use, the following formula to find theroots of the quadratic equation:

    X1 = 0.5*(1 + sqrt(1 + 24)) = 3
    X2 = 0.5*(1 - sqrt(1 + 24)) = -2

    thus the factorization is: (x-3)*(x+2)

    the general fomula for finding the roots of a quadratic equation of the following form:

    p(x) = a*x^2 + b*x + c

    is:

    X1 = (-b + sqrt(b^2 - 4*a*c)) / (2*a)
    X2 = (-b - sqrt(b^2 - 4*a*c)) / (2*a)

    also notice that if "a" does not equal 1 the factorization will be

    a*(x-X1)*(x-X2)
    Last edited by Peritus; January 13th 2008 at 05:41 AM.
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