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11 May, 16:41

Work backwards to write a quadratic equation that will have solutions of x = 3 and x = - 7.

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  1. 11 May, 17:11
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    x² + 4x - 21

    Step-by-step explanation:

    Given the solutions of x = 3 and x = - 7, moving the constant to the other side and setting both equations equal to '0':

    x - 3 = 0 and x + 7 = 0

    So, the two binomials that make up the quadratic are:

    (x - 3) (x + 7)

    Use FOIL: x² + 7x - 3x - 21

    Combine like terms: x² + 4x - 21
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