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Math Help - 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 48 and add to be 19.

    The numbers are 16 and 3


    So 2x^2 + 19x + 24 = 0

    2x^2 + 16x + 3x + 24 = 0

    2x(x + 8) + 3(x + 8) = 0

    (x + 8)(2x + 3) = 0.


    Now use the Null Factor Law to solve for x.
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