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    ladyredfiyahsr04's Avatar
    ladyredfiyahsr04 Posts: 1, Reputation: 1
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    #1

    Mar 24, 2003, 08:03 PM
    Algebra
    Determine the value of k so that 2x + 1 is a factor of 2x^2 + 7x + k
    MathMaven53's Avatar
    MathMaven53 Posts: 20, Reputation: 2
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    #2

    Apr 1, 2003, 04:04 PM
    Algebra
    :) If 2x+1 is a factor of 2x^2 + 7x + k, then

    X = -1/2 is a root of 2x^2 + 7x + k = 0

    Then by substitution of x=-1/2

    2/4 -7/2 + k = 0

    Solve for k and you get k=3

    Check : 2x^2 + 7x + 3 = (2x+1)(x+3)

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