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Math Help - Factoring

  1. #1
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    Factoring

    Hello

    I am having some difficulty factoring the following problem. I would appreciate some help. This is what I have come up with thus far. See attachment
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  2. #2
    MHF Contributor Quick's Avatar
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    The question asks you to factor, while the quadratic formula just solves for x.

    x^2+23x+24

    however you can't factor x^2+23x+24

    but, you can factor x^2+23x+42 into (x+21)(x+2) (maybe you just had a typo)


    also this isn't an equation, it's an expression, but if you set x^2+23x+24 equal to something, it becomes easy to factor.
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  3. #3
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    Hello, pashah!

    What you have written is correct ... so far.


    Factor the following equation. . . . not an equation

    b)\;\;x^2 + 23x + 24

    Use the quadratic formula to factor.
    The solutions to the quadratic, when set equal to zero, are:

    x \:=\:\frac {-b \pm \sqrt{b^2 - 4ac}}{2a}

    \frac{-(23) + \sqrt{(23)(23) - 4(1)(24)}}{2(1)}

    \frac{-(23) - \sqrt{(23)(23) - 4(1)(24)}}{2(1)}

    How about doing the arithmetic? . x \;= \;\frac{-23 \pm\sqrt{433}}{2}

    Then write the factors? . \left(x - \frac{-23 + \sqrt{433}}{2}\right)\,\left(x - \frac{-23 - \sqrt{433}}{2}\right)

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