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by hales123 on January 11th, 2007

hales123

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Can anyone please help me factor x^2 +x-6?

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  • by TheKnife V2.1 - Grandiose and Obnoxious on January 11th, 2007

    TheKnife V2.1 - Grandiose and Obnoxious

    If you look at the general version of a quadratic equation:

    Ax^2 + Bx + C = 0

    then you are looking for factors which multiply to equal C and add to equal B (let's assume that A equals 1 for now otherwise it gets more complicated). So in the equation:

    x^2 + x - 6 = 0

    you need to look for two numbers that multiply to give -6 and add to give +1. Once you find them (and there aren't many possibilities in this case), you put them inside the brackets to give:

    (x + 3)(x - 2) = 0 (as per the above answer)

    and from this you can solve the equation for x. Remember, the solution to the equation is the reverse of the factors you just found, since the equation only equals zero when x = -3 or 2 (these values of x make each half of the bracket equal zero).

    All clear as mud? Great!

    Comments

    • What the heck are you saying dude??

      Tara_W3504

      by Tara_W3504 on February 10th, 2011

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