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Thread: quadratic equation by factoring

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    quadratic equation by factoring

    2xsquared + 19x + 24 = 0

    can someone help me with this question I need some kind of direction. Im thinking you have to multiply the 2squared with the 24 and try to come up with 2 numbers that would equal to 19?
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    Quote Originally Posted by likewhoa View Post
    2xsquared + 19x + 24 = 0

    can someone help me with this question I need some kind of direction. Im thinking you have to multiply the 2squared with the 24 and try to come up with 2 numbers that would equal to 19?
    That is what you do. So you need two numbers that multiply to become $\displaystyle 48$ and add to be $\displaystyle 19$.

    The numbers are $\displaystyle 16$ and $\displaystyle 3$


    So $\displaystyle 2x^2 + 19x + 24 = 0$

    $\displaystyle 2x^2 + 16x + 3x + 24 = 0$

    $\displaystyle 2x(x + 8) + 3(x + 8) = 0$

    $\displaystyle (x + 8)(2x + 3) = 0$.


    Now use the Null Factor Law to solve for $\displaystyle x$.
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