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8 July, 09:19

Find a quadratic polynomial whose sum and and product is - 7 and - 2

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  1. 8 July, 11:19
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    x²+7x-2 = 0

    Step-by-step explanation:

    The general form of a quadratic equation with roots a and b is expressed as shown;

    x² - (sum of root) x + (product of roots) = 0

    x² - (a+b) x + ab = 0 ... 1

    Given the sum of roots a+b = - 7

    Product of roots ab = - 2

    Substituting this values in equation 1 above wil give;

    x² - (-7) x + (-2) = 0

    x²+7x-2 = 0

    The resulting quadratic polynomial is x²+7x-2 = 0
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